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Relevant bibliographies by topics / Spacetime curvature

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Academic literature on the topic 'Spacetime curvature'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Spacetime curvature"

1

Mallick, Sahanous, and Uday Chand De. "Spacetimes admitting W2-curvature tensor." International Journal of Geometric Methods in Modern Physics 11, no. 04 (2014): 1450030. http://dx.doi.org/10.1142/s0219887814500303.

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The object of this paper is to study spacetimes admitting W2-curvature tensor. At first we prove that a W2-flat spacetime is conformally flat and hence it is of Petrov type O. Next, we prove that if the perfect fluid spacetime with vanishing W2-curvature tensor obeys Einstein's field equation without cosmological constant, then the spacetime has vanishing acceleration vector and expansion scalar and the perfect fluid always behaves as a cosmological constant. It is also shown that in a perfect fluid spacetime of constant scalar curvature with divergence-free W2-curvature tensor, the energy-mom

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Ali, Mohabbat, Mohd Vasiulla, and Meraj Ali Khan. "Analysis of W3 Curvature Tensor in Modified Gravity and Its Cosmological Implications." Symmetry 17, no. 4 (2025): 542. https://doi.org/10.3390/sym17040542.

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In this study, we investigated the geometric and physical implications of the W3 curvature tensor within the framework of f(R,G) gravity. We found the sufficient conditions for W3 flat spacetimes with constant scalar curvature to be de Sitter (R>0) or Anti-de Sitter (R<0) models. The properties of isotropic spacetime in the modified gravity framework were also investigated. Furthermore, we explored spacetimes with a divergence-free W3 curvature tensor. The necessary and sufficient condition for a W3 Ricci recurrent and parallel spacetime to transform into an Einstein spacetime was determ

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De, Krishnendu, Changhwa Woo, and Uday De. "Geometric and physical characterizations of a spacetime concerning a novel curvature tensor." Filomat 38, no. 10 (2024): 3535–46. https://doi.org/10.2298/fil2410535d.

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In this article, we introduce ?-concircular curvature tensor, a new tensor that generalizes the concircular curvature tensor. At first, we produce a few fundamental geometrical properties of ?-concircular curvature tensor and pseudo ?-concircularly symmetric manifolds and provide some inter-esting outcomes. Besides, we investigate ?-concircularly flat spacetimes and establish some significant results about Minkowski spacetime, RW-spacetime, and projective collineation. Moreover, we show that if a ?-concircularly flat spacetime admits a Ricci bi-conformal vector field, then it is either Petrov

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Salman, Mohammad, Musavvir Ali, and Mohd Bilal. "Curvature Inheritance Symmetry in Ricci Flat Spacetimes." Universe 8, no. 8 (2022): 408. http://dx.doi.org/10.3390/universe8080408.

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In this article, we study curvature inheritance symmetry in Ricci flat spacetimes. We show that, if Ricci flat spacetimes are not of Petrov type N, and admit curvature inheritance symmetries, then the only existing symmetries are conformal motions. We also prove that the only Ricci flat spacetime that admits a proper curvature inheritance symmetry and is of Petrov type other than N is the flat spacetime. Next, we find that the vacuum pp-waves of Petrov type N if admit curvature inheritance symmetry, then conformal motion implies homothetic motion.

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Khan, Amir Sultan, Israr Ali Khan, Saeed Islam, and Farhad Ali. "Noether symmetry analysis for novel gravitational wave-like spacetimes and their conservation laws." Modern Physics Letters A 35, no. 28 (2020): 2050234. http://dx.doi.org/10.1142/s021773232050234x.

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The phenomena-like Hawking radiation, the collapse of black holes, and neutron stars decrease the curvature of spacetime continuously with the passage of time. The time conformal factor adds some curvature to nonstatic spacetime. In this article, some novel classes of nonstatic plane-symmetric spacetimes are explored by introducing a time conformal factor in the exact plane-symmetric spacetimes in such a way that their symmetric structure remains conserved. This technique re-scales the energy contents of the corresponding spacetimes, which comes with a re-scaled part in each spacetime. The inv

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CABALLERO, MAGDALENA, ALFONSO ROMERO, and RAFAEL M. RUBIO. "COMPLETE CMC SPACELIKE SURFACES WITH BOUNDED HYPERBOLIC ANGLE IN GENERALIZED ROBERTSON–WALKER SPACETIMES." International Journal of Geometric Methods in Modern Physics 07, no. 06 (2010): 961–78. http://dx.doi.org/10.1142/s0219887810004658.

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Complete spacelike surfaces with constant mean curvature (CMC) and bounded hyperbolic angle in Generalized Robertson–Walker (GRW) spacetimes, obeying certain natural curvature assumptions, are studied. This boundedness assumption arises as a natural extension of the notion of bounded hyperbolic image of a spacelike surface in the 3-dimensional Lorentz–Minkowski spacetime. The results obtained apply to complete CMC spacelike surfaces lying between two spacelike slices in an GRW spacetime, in the steady state spacetime and in a static GRW spacetime. As an application, uniqueness and non-existenc

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Mofarreh, Fatemah, Krishnendu De та Uday De. "Characterizations of a spacetime admitting ψ-conformal curvature tensor". Filomat 37, № 30 (2023): 10265–74. http://dx.doi.org/10.2298/fil2330265m.

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In this paper, we introduce ?-conformal curvature tensor, a new tensor that generalizes the conformal curvature tensor. At first, we deduce a few fundamental geometrical properties of ?-conformal curvature tensor and pseudo ?-conharmonically symmetric manifolds and produce some interesting outcomes. Moreover, we study ?-conformally flat perfect fluid spacetimes. As a consequence, we establish a number of significant theorems about Minkowski spacetime, GRW-spacetime, projective collineation. Moreover, we show that if a?-conformally flat spacetime admits a Ricci bi-conformal vector field, then i

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De, Uday Chand, and Young Jin Suh. "Some characterizations of Lorentzian manifolds." International Journal of Geometric Methods in Modern Physics 16, no. 01 (2019): 1950016. http://dx.doi.org/10.1142/s0219887819500166.

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Generalized Robertson–Walker (GRW) spacetime is the generalization of the Robertson–Walker (RW) spacetime and a further generalization of GRW spacetime is the twisted spacetime. In this paper, we generalize the results of the paper [C. A. Mantica, Y. J. Suh and U. C. De, A note on generalized Robertson–Walker spacetimes, Int. J. Geom. Methods Mod. Phys. 13 (2016), Article Id: 1650079, 9 pp., doi: 101142/s0219887816500791 ]. We prove that a Ricci simple Lorentzian manifold with vanishing quasi-conformal curvature tensor is a RW spacetime. Further, we prove that a Ricci simple Lorentzian manifol

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Mofarreh, Fatemah, and De Chan. "Characterizations of twisted spacetime." Filomat 35, no. 14 (2021): 4871–78. http://dx.doi.org/10.2298/fil2114871m.

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The object of the present paper is to characterize pseudo Ricci symmetric twisted spacetimes. At first it is shown that a pseudo Ricci symmetric twisted spacetime is a GRW spacetime. Next, we obtain a necessary and sufficient condition for a pseudo Ricci symmetric twisted spacetime to be a perfect fluid spacetime. It is also proved that a pseudo Ricci symmetric twisted spacetime is perfect fluid, provided the conformal curvature tensor is divergence free. Moreover, we investigate shear and vorticity vector fields of such type of spacetimes and pointed out its implications towards the evolution

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Ali, Musavvir, Mohammad Salman, and Mohd Bilal. "Conharmonic Curvature Inheritance in Spacetime of General Relativity." Universe 7, no. 12 (2021): 505. http://dx.doi.org/10.3390/universe7120505.

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The motive of the current article is to study and characterize the geometrical and physical competency of the conharmonic curvature inheritance (Conh CI) symmetry in spacetime. We have established the condition for its relationship with both conformal motion and conharmonic motion in general and Einstein spacetime. From the investigation of the kinematical and dynamical properties of the conformal Killing vector (CKV) with the Conh CI vector admitted by spacetime, it is found that they are quite physically applicable in the theory of general relativity. We obtain results on the symmetry inheri

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Dissertations / Theses on the topic "Spacetime curvature"

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McClune, James C. "Some effects of spacetime curvature in general relativity /." free to MU campus, to others for purchase, 1997. http://wwwlib.umi.com/cr/mo/fullcit?p9841171.

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Benas, Konstantinos. "The Lanczos tensor in spacetime geometry and the canonical formulation of general relativity." Thesis, Imperial College London, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249589.

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Junior, Ernani de Sousa Ribeiro. "Stability of spacelike hypersurfaces in foliated spacetimes." Universidade Federal do CearÃ, 2009. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5097.

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CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior<br>Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico<br>Dado um espaÃo-tempo M─n+1 = I x Ã Fn Robertson-Walker generalizado onde Ã Ã a funÃÃo warping que verifica uma certa condiÃÃo de convexidade, vamos classificar hipersuperfÃcies tipo-espaÃo fortemente estÃveis com curvatura mÃdia constante. Mais precisamente, vamos mostrar que, considerando x : Mn→ M─n+1 uma hipersuperfÃcie tipo-espaÃo fortemente estÃvel, fechada imersa em M─n+1 com curvatura mÃdia constante H, se a funÃÃo warping Ã satisfaz Ãâ

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Lawrence, Miles D. "Einstein's Equations in Vacuum Spacetimes with Two Spacelinke Killing Vectors Using Affine Projection Tensor Geometry." VCU Scholars Compass, 1994. http://scholarscompass.vcu.edu/etd/1473.

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Einstein's equations in vacuum spacetimes with two spacelike killing vectors are explored using affine projection tensor geometry. By doing a semi-conformal transformation on the metric, a new "fiducial" geometry is constructed using a projection tensor fields. This fiducial geometry provides coordinate independent information about the underlying structure of the spacetime without the use of an explicit form of the metric tensor.

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Meunier, Elisa. "Symétries, courants et holographie des spins élevés." Phd thesis, Université François Rabelais - Tours, 2012. http://tel.archives-ouvertes.fr/tel-00797863.

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La théorie des spins élevés est le domaine de la physique théorique au centre de cette thèse. Outre une introduction présentant le contexte général de la naissance de cette théo- rie, ce manuscrit de thèse regroupe trois études récentes dans ce domaine. Une attention particulière sera portée aux symétries, aux courants et à l'holographie. La première partie est axée sur les ingrédients permettant la construction de vertex cubiques entre un champ scalaire de matière et un champ de jauge de spin élevé dans un espace-temps à courbure constante. La méthode de Noether indique comment construire ces

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Jauregui, Jeffrey Loren. "Mass Estimates, Conformal Techniques, and Singularities in General Relativity." Diss., 2010. http://hdl.handle.net/10161/2284.

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<p>In general relativity, the Riemannian Penrose inequality (RPI) provides a lower bound for the ADM mass of an asymptotically flat manifold of nonnegative scalar curvature in terms of the area of the outermost minimal surface, if one exists. In physical terms, an equivalent statement is that the total mass of an asymptotically flat spacetime admitting a time-symmetric spacelike slice is at least the mass of any black holes that are present, assuming nonnegative energy density. The main goal of this thesis is to deduce geometric lower bounds for the ADM mass of manifolds to which neither the

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Lee, Kuo-Wei, and 李國瑋. "Mean Curvature Flow Between Compact Manifolds and Constant Mean Curvature Hypersurfaces in Schwarzschild Spacetimes." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/vbb4m8.

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博士<br>國立臺灣大學<br>數學研究所<br>98<br>The thesis consists of two parts. First part is “Mean curvature flow of the graphs of maps between compact manifolds.” We make several improvements on the results of M.-T. Wang in [19] and his joint paper with M.-P. Tsui [17] concerning the long time existence and convergence for solutions of mean curvature flow in higher co-dimension. Both the curvature condition and lower bound of $*Omega$ are weakened. New applications are also obtained. Second part is “Spherically symmetric spacelike hypersurfaces with constant mean curvature in Schwarzschild spacetimes.” We

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Xu, Hangjun. "Uniformly Area Expanding Flows in Spacetimes." Diss., 2014. http://hdl.handle.net/10161/8732.

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<p>The central object of study of this thesis is inverse mean curvature vector flow of two-dimensional surfaces in four-dimensional spacetimes. Being a system of forward-backward parabolic PDEs, inverse mean curvature vector flow equation lacks a general existence theory. Our main contribution is proving that there exist infinitely many spacetimes, not necessarily spherically symmetric or static, that admit smooth global solutions to inverse mean curvature vector flow. Prior to our work, such solutions were only known in spherically symmetric and static spacetimes. The technique used in this t

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Babb, James Patrick. "The derivation and quasinormal mode spectrum of acoustic anti-de sitter black hole analogues." Thesis, 2013. http://hdl.handle.net/1828/4484.

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Dumb holes (also known as acoustic black holes) are fluid flows which include an "acoustic horizon:" a surface, analogous to a gravitational horizon, beyond which sound may pass but never classically return. Soundwaves in these flows will therefore experience "effective geometries" which are identical to black hole spacetimes up to a conformal factor. By adjusting the parameters of the fluid flow, it is possible to create an effective geometry which is conformal to the Anti-de Sitter black hole spacetime- a geometry which has recieved a great deal of attention in recent years due to its conjec

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Books on the topic "Spacetime curvature"

1

Fritzsch, Harald. The Curvature of Spacetime. Columbia University Press, 2002.

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Spacetime Curvature Paradox Essay. Cres Huang, 2016.

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Curvature of Spacetime: Newton, Einstein, and Gravitation. Columbia University Press, 2005.

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The curvature of spacetime: Newton, Einstein, and gravitation. Columbia University Press, 2002.

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Deruelle, Nathalie, and Jean-Philippe Uzan. Matter in curved spacetime. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0043.

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This chapter is concerned with the laws of motion of matter—particles, fluids, or fields—in the presence of an external gravitational field. In accordance with the equivalence principle, this motion will be ‘free’. That is, it is constrained only by the geometry of the spacetime whose curvature represents the gravitation. The concepts of energy, momentum, and angular momentum follow from the invariance of the solutions of the equations of motion under spatio-temporal translations or rotations. The chapter shows how the action is transformed, no longer under a modification of the field configur

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Mashhoon, Bahram. Extension of General Relativity. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803805.003.0005.

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Nonlocal general relativity (GR) requires an extension of the mathematical framework of GR. Nonlocal GR is a tetrad theory such that the orthonormal tetrad frame field of a preferred set of observers carries the sixteen gravitational degrees of freedom. The spacetime metric is then defined via the orthonormality condition. The preferred frame field is used to define a new linear Weitzenböck connection in spacetime. The non-symmetric Weitzenböck connection is metric compatible, curvature-free and renders the preferred (fundamental) frame field parallel. This circumstance leads to teleparallelis

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Wittman, David M. General Relativity and the Schwarzschild Metric. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.003.0018.

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Previously, we saw that variations in the time part of the spacetime metric cause free particles to accelerate, thus unifying gravity and relativity; and that orbits trace those accelerations, which follow the inverse‐square law around spherical source masses. But a metric that empirically models orbits is not enough; we want to understand how any arrangement of mass determines the metric in the surrounding spacetime. This chapter describes thinking tools, especially the frame‐independent idea of spacetime curvature, that helped Einstein develop general relativity. We describe the Einstein equ

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Deruelle, Nathalie, and Jean-Philippe Uzan. The Schwarzschild black hole. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0047.

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This chapter discusses the Schwarzschild black hole. It demonstrates how, by a judicious change of coordinates, it is possible to eliminate the singularity of the Schwarzschild metric and reveal a spacetime that is much larger, like that of a black hole. At the end of its thermonuclear evolution, a star collapses and, if it is sufficiently massive, does not become stabilized in a new equilibrium configuration. The Schwarzschild geometry must therefore represent the gravitational field of such an object up to r = 0. This being said, the Schwarzschild metric in its original form is singular, not

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Deruelle, Nathalie, and Jean-Philippe Uzan. The Kerr solution. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0048.

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This chapter covers the Kerr metric, which is an exact solution of the Einstein vacuum equations. The Kerr metric provides a good approximation of the spacetime near each of the many rotating black holes in the observable universe. This chapter shows that the Einstein equations are nonlinear. However, there exists a class of metrics which linearize them. It demonstrates the Kerr–Schild metrics, before arriving at the Kerr solution in the Kerr–Schild metrics. Since the Kerr solution is stationary and axially symmetric, this chapter shows that the geodesic equation possesses two first integrals.

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9780192867414, Tom Lancaster, and Stephen Blundell. General Relativity for the Gifted Amateur. Oxford University PressOxford, 2025. https://doi.org/10.1093/oso/9780192867407.001.0001.

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Abstract General relativity is a field theory that describes gravity. It engages profoundly with the nature of space and time and is based on simple ideas from the physics of fields. It can be summarised by the Einstein equation which relates a geometrical quantity, the curvature of space and time that follows from the metric field., to a physical quantity that reflects a field that describes the matter content of the Universe. We begin in Part I with an introduction to the geometry of flat spacetime, reviewing special relativity and setting up the mathematics of the metric. Part II introduces

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Book chapters on the topic "Spacetime curvature"

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Manoukian, E. B. "Spacetime Curvature." In 100 Years of Fundamental Theoretical Physics in the Palm of Your Hand. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-51081-7_50.

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Schmitz, Wouter. "The Curvature of Spacetime." In Understanding Relativity. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-17219-9_8.

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Anderson, Michael. "Gravity as Spacetime Curvature." In Physics and Modern Life. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-77825-4_17.

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Jacquet, Maxime J. "Theory of Spacetime Curvature in Optical Fibres." In Negative Frequency at the Horizon. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91071-0_2.

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Thorne, Kip S. "The Dynamics of Spacetime Curvature: Nonlinear Aspects." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-93289-2_11.

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Kothawala, Dawood. "Accelerated Observers, Thermal Entropy, and Spacetime Curvature." In Gravity and the Quantum. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51700-1_12.

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Maki, Takuya, and Masaaki Morita. "Weyl Curvature Hypothesis in Terms of Spacetime Thermodynamics." In Progress in Mathematical Relativity, Gravitation and Cosmology. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40157-2_44.

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Kapoor, R. C. "Decollimation of a Jet due to Spacetime Curvature." In Quasars. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4716-0_96.

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Quevedo, Hernando. "Can Spacetime Curvature be Used in Future Navigation Systems?" In Fundamental Theories of Physics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-11500-5_11.

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Goswami, Rituparno. "Weyl Curvature and Cosmic Censorship Conjecture: A Geometrical Perspective." In New Frontiers in Gravitational Collapse and Spacetime Singularities. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-1172-7_9.

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Conference papers on the topic "Spacetime curvature"

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Bahrami, A., and C. Caloz. "Cloaking using Spacetime Curvature Induced by Perturbation." In 2021 Fifteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials). IEEE, 2021. http://dx.doi.org/10.1109/metamaterials52332.2021.9577130.

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Gunara, Bobby Eka, Khairurrijal, Mikrajuddin Abdullah, Wahyu Srigutomo, Sparisoma Viridi, and Novitrian. "Spacetime of Constant Scalar Curvature in N = 1 Supergravity." In THE 4TH ASIAN PHYSICS SYMPOSIUM—AN INTERNATIONAL SYMPOSIUM. AIP, 2010. http://dx.doi.org/10.1063/1.4757182.

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Qadir, Asghar, and Rhameez S. Herbst. "Radiative correction for generating magnetic fields in plasmas by spacetime curvature." In Proceedings of the MG14 Meeting on General Relativity. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813226609_0067.

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Bonder, Yuri. "On the Hamiltonian of Gravity Theories Whose Action is Linear in Spacetime Curvature." In Ninth Meeting on CPT and Lorentz Symmetry. WORLD SCIENTIFIC, 2023. http://dx.doi.org/10.1142/9789811275388_0039.

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Martin-Moruno, Prado. "Could a foliation by constant mean curvature hypersurfaces cover the existence of most observers in our part of spacetime?" In TOWARDS NEW PARADIGMS: PROCEEDING OF THE SPANISH RELATIVITY MEETING 2011. AIP, 2012. http://dx.doi.org/10.1063/1.4734462.

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KASHIF, ABDUL R., and KHALID SAIFULLAH. "CURVATURE AND WEYL COLLINEATIONS OF SPACETIMES." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0358.

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BOKHARI, A. H., A. R. KASHIF, and A. QADIR. "CURVATURE COLLINEATIONS OF SOME PLANE SYMMETRIC STATIC SPACETIMES." In Proceedings of the XI Regional Conference. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701862_0024.

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KONKOWSKI, D. A., and T. M. HELLIWELL. "“SINGULARITIES” IN SPACETIMES WITH DIVERGING HIGHER-ORDER CURVATURE INVARIANTS." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0360.

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Chau, H. K., I. Boyle, P. Nisbet-Jones, and C. P. Bridges. "Designing avionics for lasers & optoelectronics." In Symposium on Space Educational Activities (SSAE). Universitat Politècnica de Catalunya, 2022. http://dx.doi.org/10.5821/conference-9788419184405.126.

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Unlike imagery-based Earth observation (EO) which has become very widely and cheaply available, gravity sensing EO has not yet emerged from its fundamental science roots. The challenge therefore is to develop gravity sensing instruments that can replicate the success of widespread imagery based EO. There are three main gravity sensing mechanisms under investigation: laser ranging (e.g., GRACE-FO [1]); atom interferometers, which measure gravitation perturbations to the wavefunctions of individual atoms; and ‘relativistic geodesy’ which uses atomic clocks to measure the gravitational curvature

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KOTHAWALA, DAWOOD, S. SHANKARANARAYANAN, and L. SRIRAMKUMAR. "QUANTUM GRAVITATIONAL CORRECTIONS TO THE PROPAGATOR IN SPACETIMES WITH CONSTANT CURVATURE." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0498.

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Reports on the topic "Spacetime curvature"

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Ashby, S. F., S. L. Lee, L. R. Petzold, P. E. Saylor, and E. Seidel. Computing spacetime curvature via differential-algebraic equations. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/221033.

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