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Journal articles on the topic 'Metric rotation'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Zakir, Zahid. "Effects of gravity around charged and rotating collapsars in metrics with independent parameters." QUANTUM AND GRAVITATIONAL PHYSICS 3 (February 14, 2022): 1–17. http://dx.doi.org/10.9751/qgph.3-018.7715.

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The external metric of the ball with a charge on the surface, as a solution to the Einstein-Maxwell equations, depends on three independent parameters - the surface radius, the charge and the gravitational radius of the ball, which is equal to the gravitational radius of a neutral non-rotating matter. The electric field exists only outside the ball, and its energy contributes to the metric with the same sign as the matter. Therefore, an increase in charge enhances gravity, increasing the magnitude of its effects (redshifts, orbital radii and shadows, etc.). The metric outside the spherical col

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2

MALLICK, RITAM, ABHIJIT BHATTACHARYYA, SANJAY K. GHOSH, and SIBAJI RAHA. "GENERAL RELATIVISTIC EFFECT ON THE ENERGY DEPOSITION RATE FOR NEUTRINO PAIR ANNIHILATION ABOVE THE EQUATORIAL PLANE ALONG THE SYMMETRY AXIS NEAR A ROTATING NEUTRON STAR." International Journal of Modern Physics E 22, no. 02 (2013): 1350008. http://dx.doi.org/10.1142/s0218301313500080.

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The estimate of the energy deposition rate (EDR) for neutrino pair annihilation has been carried out. The EDR for the neutrinos coming from the equatorial plane of a rotating neutron star is calculated along the rotation axis using the Cook–Shapiro–Teukolsky metric. The neutrino trajectories and hence the neutrinos emitted from the disk are affected by the redshift due to disk rotation and gravitation. The EDR is very sensitive to the value of the temperature and its variation along the disk. The rotation of the star has a negative effect on the EDR; it decreases with increase in rotational ve

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3

Comber, Alexis, Khanh Chi, Man Q. Huy, et al. "Distance metric choice can both reduce and induce collinearity in geographically weighted regression." Environment and Planning B: Urban Analytics and City Science 47, no. 3 (2018): 489–507. http://dx.doi.org/10.1177/2399808318784017.

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This paper explores the impact of different distance metrics on collinearity in local regression models such as geographically weighted regression. Using a case study of house price data collected in Hà Nội, Vietnam, and by fully varying both power and rotation parameters to create different Minkowski distances, the analysis shows that local collinearity can be both negatively and positively affected by distance metric choice. The Minkowski distance that maximised collinearity in a geographically weighted regression was approximate to a Manhattan distance with (power = 0.70) with a rotation of

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4

AWAD, ADEL M. "THE FIRST LAW, COUNTERTERMS AND KERR-AdS5 BLACK HOLES." International Journal of Modern Physics D 18, no. 03 (2009): 405–18. http://dx.doi.org/10.1142/s0218271809014522.

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We apply the counterterm subtraction technique to calculate the action and other quantities of the Kerr-AdS black hole in five dimensions using two boundary metrics: the Einstein universe and the rotating Einstein universe with an arbitrary angular velocity. In both cases, the resulting thermodynamic quantities satisfy the first law of thermodynamics. We point out that the reason for the violation of the first law in previous calculations was that the rotating Einstein universe, used as a boundary metric, was rotating with an angular velocity that depended on the black hole rotation parameter.

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Zakir, Zahid. "Physically consistent metrics with independent parameters instead of standard metrics with unphysical consequences. 2. Rotating sources." QUANTUM AND GRAVITATIONAL PHYSICS 3 (January 24, 2022): 1–16. http://dx.doi.org/10.9751/qgph.3-017.7694.

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The Kerr metric, the external metric for a rotating body, contains the equatorial gravitational radius implicitly depending on the specific angular momentum (SAM). Ignoring this dependence due to the formal mathematical approach without understanding the physical aspects led to absurd unphysical consequences in the black hole theory, in particular, that an increase in the rotational energy at increasing SAM weakens gravity, decreasing the gravitational radius at the pole and the effects of gravity (redshifts, mean radii of orbits and shadows). This shortcoming of the Kerr metric is improved in

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Zakir, Zahid. "Physically consistent metrics with independent parameters instead of standard metrics with unphysical consequences. 2. Rotating sources." QUANTUM AND GRAVITATIONAL PHYSICS 3 (January 24, 2022): 1–16. http://dx.doi.org/10.9751/qgph.2-016.7694.

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The Kerr metric, the external metric for a rotating body, contains the equatorial gravitational radius implicitly depending on the specific angular momentum (SAM). Ignoring this dependence due to the formal mathematical approach without understanding the physical aspects led to absurd unphysical consequences in the black hole theory, in particular, that an increase in the rotational energy at increasing SAM weakens gravity, decreasing the gravitational radius at the pole and the effects of gravity (redshifts, mean radii of orbits and shadows). This shortcoming of the Kerr metric is improved in

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7

ZHANG, C. M. "GENERAL DESCRIPTION OF DIRAC SPIN–ROTATION EFFECT WITH RELATIVISTIC FACTOR." International Journal of Modern Physics D 16, no. 04 (2007): 737–44. http://dx.doi.org/10.1142/s0218271807009875.

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The Mashhoon rotation–spin coupling is studied by means of the parallelism description of general relativity. The relativistic rotational tetrad is exploited which results in the Minkowski metric, and the torsion axial-vector and Dirac spin coupling will give the Mashhoon rotation–spin term. For the high speed rotating cases, the tangent velocity constructed by the angular velocity Ω multiplying the distance r may exceed over the speed of light c, i.e. Ωr ≥ c, which will make the relativistic factor γ infinity or imaginary. In order to avoid this "meaningless" difficulty occurring in γ factor,

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8

Hui, C. Y., and K. S. Cheng. "Anisotropic Heat Transfer Inside Rotating Neutron Stars." Symposium - International Astronomical Union 218 (2004): 39–40. http://dx.doi.org/10.1017/s0074180900180520.

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We have developed the anisotropic heat transport equation for rotating neutron stars. With a simple model of neutron star, we also model the propagation of heat pulses resulting from transient energy releases inside the star. Even in the slow rotation limit, the results with rotational effects involved could differ significantly from those obtained with a spherically symmetric metric in the timescale of the thermal afterglow.

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9

Li, Yanlin, Piscoran Laurian-Ioan, Lamia Saeed Alqahtani, Ali H. Alkhaldi, and Akram Ali. "Zermelo's navigation problem for some special surfaces of rotation." AIMS Mathematics 8, no. 7 (2023): 16278–90. http://dx.doi.org/10.3934/math.2023833.

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<abstract><p>In this paper, we investigate Zermelo's navigation problem for some special rotation surfaces. In this respect, we find some Randers-type metrics for these rotation surfaces. Furthermore, we get the H-distortion for the metric induced by surfaces.</p></abstract>

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Baghdad, Abdulhameed Abdullah AL-BADANI, and KILIC Abidin. "AN INVESTIGATION OF MOLECULAR SPECTROSCOPY WITH GEOMETRIC ALGEBRA." Journal of Natural Science and Technologies 1, no. 1 (2022): 7–18. https://doi.org/10.5281/zenodo.7241363.

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In this study Geometric Algebra was used to create a general and practical method for obtaining the operators of the kinetic energy of the molecular vibration-rotation of polyatomic molecules. On the other hand, these polyatomic molecules' precise intrinsic kinetic energy operators include a metric tensor. The elements of this metric tensor were expressed as the mass- weighted sum of measuring vector inner product vectors compatible with the molecule's nucleus. Whereas, the vibrational and rotational measuring vectors that appear in the metric tensor for any geometrically defined coord

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11

HE, QUN, та WEI YANG. "VOLUME FORMS AND MINIMAL SURFACES OF ROTATION IN FINSLER SPACES WITH (α, β)-METRICS". International Journal of Mathematics 21, № 11 (2010): 1401–11. http://dx.doi.org/10.1142/s0129167x10006483.

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In this paper, the relation between the volume form of (α, β)-metric [Formula: see text] and that of Riemannian metric α is given. Minimal submanifolds in Finsler spaces with (α, β)-metrics are studied. Finally, an ordinary differential equation that characterizes minimal surfaces of revolution and an example of minimal surface of rotation are given.

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12

Nättilä, J., and P. Pihajoki. "Radiation from rapidly rotating oblate neutron stars." Astronomy & Astrophysics 615 (July 2018): A50. http://dx.doi.org/10.1051/0004-6361/201630261.

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A theoretical framework for emission originating from rapidly rotating oblate compact objects is described in detail. Using a Hamilton-Jacobi formalism, we show that special relativistic rotational effects such as aberration of angles, Doppler boosting, and time dilatation naturally emerge from the general relativistic treatment of rotating compact objects. We use the Butterworth–Ipser metric expanded up to the second order in rotation and hence include effects of light bending, frame-dragging, and quadrupole deviations on our geodesic calculations. We also give detailed descriptions of the nu

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13

Chou, Yu-Ching. "An Interior Solution for the Kerr Metric: A Novel Approach." Universe 11, no. 1 (2025): 23. https://doi.org/10.3390/universe11010023.

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We present a novel approach for the construction of interior solutions for the Kerr metric, extending J. Ovalle’s foundational work through ellipsoidal coordinate transformations. By deriving a physically plausible interior solution that smoothly matches the Kerr exterior metric, we analyze the energy conditions across various rotation parameters. Our findings reveal anisotropic fluid properties and energy condition behaviors in specific space-time regions, providing insights into the strong-field regime of rotating black holes. The proposed solution offers a more realistic description of rota

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14

Singh, Naorem Jugeshwor. "Rotational Pertubation of Masive Scalar Field Universes." Bulletin of Mathematical Sciences and Applications 8 (May 2014): 11–17. http://dx.doi.org/10.18052/www.scipress.com/bmsa.8.11.

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In this course of presentation, we will consider the rotational perturbation of the Robertson-Walker universe will be examined in order to substantiate the possibility of the existence of Massive scalar field. We will study, the exact solutions for metric rotation Ω( r,t ) and the matter rotation w ( r,t ) under different conditions, and also study their nature and role from different angles.

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15

Bakker, Ryan, and Keith T. Poole. "Bayesian Metric Multidimensional Scaling." Political Analysis 21, no. 1 (2013): 125–40. http://dx.doi.org/10.1093/pan/mps039.

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In this article, we show how to apply Bayesian methods to noisy ratio scale distances for both the classical similarities problem as well as the unfolding problem. Bayesian methods produce essentially the same point estimates as the classical methods, but are superior in that they provide more accurate measures of uncertainty in the data. Identification is nontrivial for this class of problems because a configuration of points that reproduces the distances is identified only up to a choice of origin, angles of rotation, and sign flips on the dimensions. We prove that fixing the origin and rota

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16

Pesonen, Janne. "Constrained molecular vibration-rotation Hamiltonians: Contravariant metric tensor." Journal of Chemical Physics 139, no. 14 (2013): 144310. http://dx.doi.org/10.1063/1.4823835.

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Capozziello, Salvatore, Tiberiu Harko, Tomi S. Koivisto, Francisco S. N. Lobo, and Gonzalo J. Olmo. "Galactic rotation curves in hybrid metric-Palatini gravity." Astroparticle Physics 50-52 (December 2013): 65–75. http://dx.doi.org/10.1016/j.astropartphys.2013.09.005.

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18

Pesonen, Janne. "Eckart frame vibration-rotation Hamiltonians: Contravariant metric tensor." Journal of Chemical Physics 140, no. 7 (2014): 074101. http://dx.doi.org/10.1063/1.4865750.

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19

Booth, Robin. "Flattened Galaxy Rotation Curves in the Exochronous Metric." Galaxies 12, no. 3 (2024): 21. http://dx.doi.org/10.3390/galaxies12030021.

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We examine some of the consequences of the Exochronous (timeless) metric and the associated ΣGR cosmological model for the formation of galaxies, and, in particular, their characteristic rotation curves. We show how the cumulative curvature from the multiple spatial hypersurfaces in this model leads to a modified version of the Poisson equation, in which the gravitational potential is computed over 4D space. Using this new form of the Poisson equation, we derive an analytic expression for gravitational potential as a function of radial distance for a uniform gas cloud undergoing gravitational

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Dymnikova, I. G. "Gravitational time delay of signals in the Kerr metric." Symposium - International Astronomical Union 114 (1986): 411–16. http://dx.doi.org/10.1017/s0074180900148442.

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The gravitational time delay of signals in a gravitational field of a rotating massive body is considered both in a weak field approximation and in a strong field caused by a rotating black hole. The expressions describing the time of propagation of signals are obtained by integrating the light geodesics of the Kerr metric in a frame reference of a distant observer using the Boyer-Lindquist coordinates and assuming that the wave length of radiation is much less than the characteristic scale of the field. The existence of the asymmetry in the time delay is shown depending on the mutual orientat

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21

CHO, H. T., A. S. CORNELL, JASON DOUKAS, and WADE NAYLOR. "ANGULAR EIGENVALUES OF HIGHER-DIMENSIONAL KERR-(A)dS BLACK HOLES WITH TWO ROTATIONS." International Journal of Modern Physics: Conference Series 07 (January 2012): 237–46. http://dx.doi.org/10.1142/s201019451200431x.

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In this paper, following the work of Chen, Lü and Pope, we present the general metric for Kerr-(A)dS black holes with two rotations. The corresponding Klein-Gordon equation is separated explicitly, from which we develop perturbative expansions for the angular eigenvalues in powers of the rotation parameters with D ≥ 6.

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DELLAR, PAUL J. "Variations on a beta-plane: derivation of non-traditional beta-plane equations from Hamilton's principle on a sphere." Journal of Fluid Mechanics 674 (March 14, 2011): 174–95. http://dx.doi.org/10.1017/s0022112010006464.

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Starting from Hamilton's principle on a rotating sphere, we derive a series of successively more accurate β-plane approximations. These are Cartesian approximations to motion in spherical geometry that capture the change with latitude of the angle between the rotation vector and the local vertical. Being derived using Hamilton's principle, the different β-plane approximations each conserve energy, angular momentum and potential vorticity. They differ in their treatments of the locally horizontal component of the rotation vector, the component that is usually neglected under the traditional app

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23

KAR, SAYAN. "GEOMETRY OF THEORY SPACE AND RG FLOWS." Modern Physics Letters A 17, no. 15n17 (2002): 1037–45. http://dx.doi.org/10.1142/s0217732302007089.

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The space of couplings of a given theory is the arena of interest in this article. Equipped with a metric ansatz akin to the Fisher information matrix in the space of parameters in statistics (similar metrics in physics are the Zamolodchikov metric or the O'Connor–Stephens metric) we investigate the geometry of theory space through a study of specific examples. We then look into renormalisation group flows in theory space and make an attempt to characterise such flows via its isotropic expansion, rotation and shear. Consequences arising from the evolution equation for the isotropic expansion a

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24

Shen, Yu-Fu, Gang Zhao, and Sarah A. Bird. "An Attempt to Construct an Activity Cycle Catalog with Kepler Long-Cadence Light Curves." Universe 8, no. 9 (2022): 488. http://dx.doi.org/10.3390/universe8090488.

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Many stars show activity cycles like the Sun. Kepler has gathered ∼200,000 light curves. Most of the Kepler stars only have long-cadence light curves, which limits their applicable methods. Some metrics, for example Sph, are effective for long-cadence light curves but require rotation periods. In order to improve the utilization of Kepler light curves, we introduce and use the smoothness metric. The smoothness metric is able to analyze stars without a measured rotation period and is applicable for long-cadence light curves. We test and validate our metric, resulting in the detection of the 11

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Tamm, Martin. "Minimizing Curvature in Euclidean and Lorentz Geometry." Symmetry 13, no. 8 (2021): 1433. http://dx.doi.org/10.3390/sym13081433.

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In this paper, an interesting symmetry in Euclidean geometry, which is broken in Lorentz geometry, is studied. As it turns out, attempting to minimize the integral of the square of the scalar curvature leads to completely different results in these two cases. The main concern in this paper is about metrics in R3, which are close to being invariant under rotation. If we add a time-axis and let the metric start to rotate with time, it turns out that, in the case of (locally) Euclidean geometry, the (four-dimensional) scalar curvature will increase with the speed of rotation as expected. However,

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Dehghani, M. H., and A. Khodam-Mohammadi. "Hairy rotating black string in the EinsteinMaxwellHiggs system." Canadian Journal of Physics 83, no. 3 (2005): 229–42. http://dx.doi.org/10.1139/p04-083.

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We show numerically that the Abelian Higgs-field equations in the background of a four-dimensional rotating charged black string have vortex solutions. These solutions, which have axial symmetry, establish that the rotating black string can support the Abelian Higgs field as hair. We find an electric field coupled to the Higgs scalar field in the case of a rotating black string. This electric field is due to an electric charge-per-unit-length, which increases as the rotation parameter increases. We also find that the vortex thickness decreases as the rotation parameter increases. Finally, we c

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KHOKHLOV, ALEXEI, and IGOR NOVIKOV. "EXPONENTIAL STRETCH–ROTATION FORMULATION OF EINSTEIN'S EQUATIONS." International Journal of Modern Physics D 13, no. 02 (2004): 373–90. http://dx.doi.org/10.1142/s021827180400458x.

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We study an exponential stretch–rotation (ESR) transformation, γij=e∊ikmθmeϕke-∊jknθn, of a three-dimensional metric γij of space-like hypersurfaces embedded in a four-dimensional space–time, where ϕk are logarithms of the eigenvalues of γij, θk are rotation angles, and ∊ijk is a fully anti-symmetric symbol. This tensorial exponential transformation generalizes particular exponential transformations used previously in cases of spatial symmetry. General formulae are derived that relate γij and its differentials to ϕk, θk and their differentials in a compact form. The evolution part of Einstein'

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Zaslavskii, O. B. "Rotation as an origin of high energy particle collisions." Modern Physics Letters A 31, no. 04 (2016): 1650029. http://dx.doi.org/10.1142/s0217732316500292.

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We consider collision of two particles in rotating spacetimes without horizons. If the metric coefficient responsible for rotation of spacetime is big enough, the energy of collisions in the center of mass frame can be as large as one likes. This can happen in the ergoregion only. The results are model-independent and apply both to relativistic stars and wormholes.

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Morawiec, A. "The rotation rate field and geometry of orientation space." Journal of Applied Crystallography 23, no. 5 (1990): 374–77. http://dx.doi.org/10.1107/s002188989000512x.

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This paper contains information about the Riemannian structure of orientation space which is necessary for the analysis of the rotation rate field, which in turn describes some aspects of the plastic deformation of textured polycrystalline materials. The components of the metric tensor and the connection coefficients in the coordinates used in quantitative texture analysis are given. The relation between the vector components at symmetrically equivalent points and the relation between the frequently used vectors of infinitesimal rotations are presented. The solution of the continuity equation

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Van Beuzekom, A. D., and J. A. M. Van Gisbergen. "Collicular Microstimulation During Passive Rotation Does Not Generate Fixed Gaze Shifts." Journal of Neurophysiology 87, no. 6 (2002): 2946–63. http://dx.doi.org/10.1152/jn.2002.87.6.2946.

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We investigated whether saccades evoked by electrical stimulation (E-saccades) in the superior colliculus can compensate for passive sinusoidal head rotation in yaw so as to keep the rapid gaze shift constant. After accounting for variations in E-saccade onset position, we found significant horizontal metric changes, proportional to head velocity, in 31 of 37 experiments in 2 monkeys. Vertical effects were small. In a substantial fraction of the experiments (14/37), these metric changes represented significant but often insufficient compensatory adjustments in the horizontal component, opposit

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Momeni, Davood, Surajit Chattopadhyay, and Ratbay Myrzakulov. "Reciprocal NUT spacetimes." International Journal of Geometric Methods in Modern Physics 12, no. 09 (2015): 1550083. http://dx.doi.org/10.1142/s0219887815500838.

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In this paper, we study the Ehlers' transformation (sometimes called gravitational duality rotation) for reciprocal static metrics. First, we introduce the concept of reciprocal metric. We prove a theorem which shows how we can construct a certain new static solution of Einstein field equations using a seed metric. Later, we investigate the family of stationary spacetimes of such reciprocal metrics. The key here is a theorem from Ehlers', which relates any static vacuum solution to a unique stationary metric. The stationary metric has a magnetic charge. The spacetime represents Newman-Unti-Tam

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Franceschetti, Kevin, Luca Del Zanna, Jacopo Soldateschi, and Niccolò Bucciantini. "Numerical Equilibrium Configurations and Quadrupole Moments of Post-Merger Differentially Rotating Relativistic Stars." Universe 8, no. 3 (2022): 172. http://dx.doi.org/10.3390/universe8030172.

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Numerical simulations of binary neutron star mergers invariably show that, when a long-lived remnant forms, its rotation profile is never a simple decaying function of the radius but rather exhibits a maximum rotation rate shifted away from the center. This is in contrast to the usual differential rotation profile employed for the numerical modeling of axisymmetric equilibria of relativistic stars. Two families of rotation rate functions that mimic post-merger profiles were proposed by Uryū et al. (2017). In this work we implement Uryū’s profiles into the XNS code by Bucciantini and Del Zanna

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Hartnett, John G. "The Carmeli Metric Correctly Describes Spiral Galaxy Rotation Curves." International Journal of Theoretical Physics 44, no. 3 (2005): 349–62. http://dx.doi.org/10.1007/s10773-005-3366-1.

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Romanov, S. S. "Plane Closed Trajectories on Certain Manifolds with Rotation Metric." Ukrainian Mathematical Journal 56, no. 2 (2004): 342–50. http://dx.doi.org/10.1023/b:ukma.0000036108.17202.39.

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GLOBUS, N., V. CAYATTE, and C. SAUTY. "ON MAGNETIC SELF-COLLIMATION OF RELATIVISTIC JETS." International Journal of Modern Physics D 19, no. 06 (2010): 689–94. http://dx.doi.org/10.1142/s0218271810017068.

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We present a semi-analytical model using the equations of general relativistic magnetohydrodynamics (GRMHD) for jets emitted by a rotating black hole. We assume steady axisymmetric outflows of a relativistic ideal fluid in Kerr metrics. We express the conservation equations in the frame of the FIDucial Observer (FIDO or ZAMO) using a 3+1 space–time splitting. Calculating the total energy variation between a non-polar field line and the polar axis, we extend to the Kerr metric the simple criterion for the magnetic collimation of jets obtained for a nonrotating black hole by Meliani et al.10 We

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Baines, Joshua, Thomas Berry, Alex Simpson, and Matt Visser. "Painlevé–Gullstrand form of the Lense–Thirring Spacetime." Universe 7, no. 4 (2021): 105. http://dx.doi.org/10.3390/universe7040105.

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The standard Lense–Thirring metric is a century-old slow-rotation large-distance approximation to the gravitational field outside a rotating massive body, depending only on the total mass and angular momentum of the source. Although it is not an exact solution to the vacuum Einstein equations, asymptotically the Lense–Thirring metric approaches the Kerr metric at large distances. Herein we shall discuss a specific variant of the standard Lense–Thirring metric, carefully chosen for simplicity, clarity, and various forms of improved mathematical and physical behaviour, (to be more carefully defi

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He, Feng, Aronne Merrelli, Tristan S. L’Ecuyer, and Margaret C. Turnbull. "Climate Outcomes of Earth-similar Worlds as a Function of Obliquity and Rotation Rate." Astrophysical Journal 933, no. 1 (2022): 62. http://dx.doi.org/10.3847/1538-4357/ac6951.

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Abstract A set of simulations with a 3D global climate model are performed to investigate the roles of obliquity and rotation period in the habitability of Earthlike exoplanets. The simulations cover the obliquity–rotation parameter space, from 0° to 90° in obliquity and 1–128 days in rotation period. The simulated global mean temperatures are warmest at 45° obliquity with fast rotations, due to the modification of the greenhouse effect from the spatial redistribution of clouds and water vapor. The slow-moving insolation–cloud mechanism, previously found in simulations with slow rotations and

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Manhart, F. "Surfaces with affine rotational symmetry and flat affine metric in R3." Studia Scientiarum Mathematicarum Hungarica 40, no. 4 (2003): 397–406. http://dx.doi.org/10.1556/sscmath.40.2003.4.2.

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LEVI, MARK. "Shadowing property of geodesics in Hedlund's metric." Ergodic Theory and Dynamical Systems 17, no. 1 (1997): 187–203. http://dx.doi.org/10.1017/s0143385797060999.

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In this paper we show that the geodesic flow in a Hedlund-type metric on the 3-torus possesses the shadowing property. This implies, in particular, that any rotation vector is represented by a geodesic, a fact that in the two-dimensional case is given by the Aubry–Mather theory, while in the higher-dimensional case is still unknown.

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Soni, Sagar V., and A. H. Hasmani. "A geometric study of Vaidya metric." Journal of Dynamical Systems and Geometric Theories 22, no. 1&2 (2024): 35–46. https://doi.org/10.47974/jdsgt-2023-002.

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Vaidya’s spacetime is the simplest non-static generalization of Schwarzschild’s solution to Einstein’s field equation. Vaidya metric represents radiating universe. With the aid of differential forms, various geometrical quantities related to Vaidya metric are obtained. We obtained the electrical parts of the Weyl tensor, it is found that they are related to the radial vector. We explored kinematic parameters in the terms of Ricci rotation coefficients. Also, we investigate behavior of general observer quantities at naked singularity r = 0.

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Hendi, S. H. "Magnetic String with a NonlinearU(1)Source." Advances in High Energy Physics 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/697914.

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Considering the Einstein gravity in the presence of Born-Infeld type electromagnetic fields, we introduce a class of 4-dimensional static horizonless solutions which produce longitudinal magnetic fields. Although these solutions do not have any curvature singularity and horizon, there exists a conic singularity. We investigate the effects of nonlinear electromagnetic fields on the properties of the solutions and find that the asymptotic behavior of the solutions is adS. Next, we generalize the static metric to the case of rotating solutions and find that the value of the electric charge depend

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Roberts, Mark D. "String Theory Explanation of Galactic Rotation Found Using the Geodesic Constraint." Advances in High Energy Physics 2019 (April 23, 2019): 1–4. http://dx.doi.org/10.1155/2019/4129061.

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The unique spherically symmetric metric which has vanishing Weyl tensor, is asymptotically de-Sitter, and can model constant galactic rotation curves is presented. Two types of field equations are shown to have this metric as an exact solution. The first is Palatini varied scalar-tensor theory. The second is the low energy limit of string theory modified by inclusion of a contrived potential.

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Yankov, Dragomir, Eamonn Keogh, Li Wei, Xiaopeng Xi, and Wendy Hodges. "Fast Best-Match Shape Searching in Rotation-Invariant Metric Spaces." IEEE Transactions on Multimedia 10, no. 2 (2008): 230–39. http://dx.doi.org/10.1109/tmm.2007.911824.

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Zakir, Zahid. "Metrics with irreducible mass leading to a correct parameter dependence of gravitational effects around charged and rotating bodies." QUANTUM AND GRAVITATIONAL PHYSICS 4 (February 8, 2023): 1–17. http://dx.doi.org/10.9751/qgph.4-022.8074.

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The standard metrics outside of charged and rotating sources (Kerr-Newman in general, Reissner-Nordström and Kerr in particular) contain the total mass at infinity, which includes both the mass of a neutral non-rotating body and the mass equivalents of rotational and electric field energies. Therefore, the total mass is related to other parameters of the metric - angular momentum and charge. However, at studying the dependence of gravitational effects on parameters, this relationship was ignored, assuming total mass to be constant at varying angular momentum and charge. This error led to physi

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Huo, Guanglei, Lijun Zhao, Ke Wang, Ruifeng Li, and Jianqiang Li. "Polar Metric-Weighted Norm-Based Scan Matching for Robot Pose Estimation." Discrete Dynamics in Nature and Society 2016 (2016): 1–20. http://dx.doi.org/10.1155/2016/2028414.

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A novel point-to-point scan matching approach is proposed to address pose estimation and map building issues of mobile robots. Polar Scan Matching (PSM) and Metric-Based Iterative Closest Point (Mb-ICP) are usually employed for point-to-point scan matching tasks. However, due to the facts that PSM considers the distribution similarity of polar radii in irrelevant region of reference and current scans and Mb-ICP assumes a constant weight in the norm about rotation angle, they may lead to a mismatching of the reference and current scan in real-world scenarios. In order to obtain better match res

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Довгополий, А. С., O. О. Токалін, and O. О. Білобородов. "Sensitivity of superconducting quantum interferometers to rotational motions." ВІСНИК СХІДНОУКРАЇНСЬКОГО НАЦІОНАЛЬНОГО УНІВЕРСИТЕТУ імені Володимира Даля, no. 8(264) (January 12, 2021): 27–33. http://dx.doi.org/10.33216/1998-7927-2020-264-8-27-33.

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Based on the principle of equivalence of the general theory of relativity and the definition of the non-Euclidean metric of space in a non-inertial frame of reference associated with rotation, a geometric (topological) phase is found that occurs when traversing any closed loop. This approach made it possible to establish a deep physical analogy between various wave effects (both classical and quantum) in closed waveguides that arise under the conditions of their rotation. Due to the coherence of the wave function of spinless charge carriers (Cooper pairs of conduction electrons with oppositely

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Dovhopoly, Anatoly, Oleh Tokalin, Oleh Biloborodov, and Volodymyr Senatorov. "Development of the theory and schematic solutions of the gyroscope based on superconducting quantum interferometers." MECHANICS OF GYROSCOPIC SYSTEMS, no. 41 (December 28, 2022): 22–36. http://dx.doi.org/10.20535/0203-3771412021269108.

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Based on the principle of equivalence of the general theory of relativity and the definition of the non-Euclidean metric of space in a non-inertial frame of reference associated with rotation, a geometric (topological) phase is found that occurs when traversing any closed loop. This approach made it possible to establish a deep physical analogy between various wave effects (both classical and quantum) in closed waveguides that arise under the conditions of their rotation. Due to the coherence of the wave function of spinless charge carriers (Cooper pairs of conduction electrons with oppositely

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Atinga, Awudu, Krisztián Kósi, and József K. Tar. "Measuring Model Parameter Setting Errors’ Effects in the Control of an Order 4 Underactuated System." Electronics 14, no. 5 (2025): 883. https://doi.org/10.3390/electronics14050883.

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In the control-based approach of medical treatment of various illnesses such as diabetes mellitus, certain angiogenic cancers, or in anesthesia, the starting point used to be some “patient model” on the basis of which the appropriate administration of the drugs can be designed. The identification of the “patient model’s parameters” is always a hard and sometimes unsolvable mathematical task. Furthermore, these parameters have wide variability between patients. In principle, either robust or adaptive techniques can be used to tackle the problem of modeling imprecisions. In this paper, the poten

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Panov, V. F., O. V. Sandakova, E. V. Kuvshinova, and D. M. Yanishevsky. "Evolution of the Universe with two rotating fluids." International Journal of Modern Physics A 35, no. 02n03 (2020): 2040042. http://dx.doi.org/10.1142/s0217751x20400424.

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An anisotropic cosmological model with expansion and rotation and the Bianchi type IX metric has been constructed within the framework of general relativity theory. The first inflation stage of the Universe filled with a scalar field and an anisotropic fluid is considered. The model describes the Friedman stage of cosmological evolution with subsequent transition to accelerated exponential expansion observed in the present epoch. The model has two rotating fluids: the anisotropic fluid and dust-like fluid. In the approach realized in the model, the anisotropic fluid describes the rotating dark

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Larin, Sergey A. "Towards the Explanation of Flatness of Galaxies Rotation Curves." Universe 8, no. 12 (2022): 632. http://dx.doi.org/10.3390/universe8120632.

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We suggest a new explanation of the flatness of galaxies rotation curves without invoking dark matter. For this purpose, a new gravitational tensor field is introduced in addition to the metric tensor.

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