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Articles de revues sur le sujet « Post-newtonian limit »

Auteur : Grafiati

Publié le 10 mars 2023

Mis à jour le 19 juillet 2025

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1

De Laurentis, Mariafelicia, та Antonio Jesus Lopez-Revelles. "Newtonian, Post-Newtonian and Parametrized Post-Newtonian limits of f(R, 𝒢) gravity". International Journal of Geometric Methods in Modern Physics 11, № 10 (2014): 1450082. http://dx.doi.org/10.1142/s0219887814500820.

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We discuss in detail the weak field limit of f(R, 𝒢) gravity taking into account analytic functions of the Ricci scalar R and the Gauss–Bonnet invariant 𝒢. Specifically, we develop, in metric formalism, the Newtonian, Post-Newtonian (PN) and Parametrized Post-Newtonian (PPN) limits starting from general f(R, 𝒢) Lagrangian. The special cases of f(R) and f(𝒢) gravities are considered. In the case of the Newtonian limit of f(R, 𝒢) gravity, a general solution in terms of Green's functions is achieved.

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Bahamonde, Sebastian, Konstantinos F. Dialektopoulos, Manuel Hohmann, and Jackson Levi Said. "Post-Newtonian limit of teleparallel Horndeski gravity." Classical and Quantum Gravity 38, no. 2 (2020): 025006. http://dx.doi.org/10.1088/1361-6382/abc441.

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CIUFOLINI, IGNAZIO. "NEW CLASS OF METRIC THEORIES OF GRAVITY NOT DESCRIBED BY THE PARAMETRIZED POST-NEWTONIAN (PPN) FORMALISM." International Journal of Modern Physics A 06, no. 30 (1991): 5511–32. http://dx.doi.org/10.1142/s0217751x91002604.

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After an introduction to theories of gravity alternative to general relativity, metric theories (Sec. 1) and the parametrized post-Newtonian (PPN) formalism (Sec. 2), we define a new class of metric theories of gravity (Sec. 3). It turns out that the post-Newtonian approximation of these new theories is not described by the PPN formalism (Sec. 4); in fact, in the limit of weak field and slow motions, the post-Newtonian expression of the metric tensor contains an, a priori, infinite set of new terms and correspondingly an, a priori, infinite set of new PPN parameters. As a consequence, the para

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Sasaki, Misao. "Post-Newtonian approximation in the test particle limit." Banach Center Publications 41, no. 2 (1997): 75–83. http://dx.doi.org/10.4064/-41-2-75-83.

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Gonzalez-Espinoza, Manuel, Giovanni Otalora, Lucila Kraiselburd, and Susana Landau. "Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity." Journal of Cosmology and Astroparticle Physics 2022, no. 05 (2022): 010. http://dx.doi.org/10.1088/1475-7516/2022/05/010.

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Abstract We study the parametrized post-Newtonian (PPN) limit of higher-derivative-torsion Modified Teleparallel Gravity. We start from the covariant formulation of modified Teleparallel Gravity by restoring the spin connection of the theory. Then, we perform the post-Newtonian expansion of the tetrad field around the Minkowski background and find the perturbed field equations. We compute the PPN metric for the higher-order Teleparallel Gravity theories which allows us to show that at the post-Newtonian limit this more general class of theories are fully conservative and indistinguishable from

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Dyadina, Polina, and Sofya Labazova. "The post-Newtonian limit of hybrid f(R)-gravity." EPJ Web of Conferences 191 (2018): 07009. http://dx.doi.org/10.1051/epjconf/201819107009.

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The post-Newtonian formalism is developed for hybrid f(R)-gravity. The model is tested in the weak field regime of the Solar System. Using scalartensor representation of hybrid f(R)-gravity we impose restrictions on the parameters of the theory and show that hybrid f(R)-gravity is not ruled out by the observations in the weak field limit.

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Kol, Barak, Michele Levi, and Michael Smolkin. "Comparing space+time decompositions in the post-Newtonian limit." Classical and Quantum Gravity 28, no. 14 (2011): 145021. http://dx.doi.org/10.1088/0264-9381/28/14/145021.

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Alfaro, Jorge, та Pablo González. "δ Gravity: Dark Sector, Post-Newtonian Limit and Schwarzschild Solution". Universe 5, № 5 (2019): 96. http://dx.doi.org/10.3390/universe5050096.

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We present a new kind of model, which we call δ Theories, where standard theories are modified including new fields, motivated by an additional symmetry ( δ symmetry). In previous works, we proved that δ Theories just live at one loop, so the model in a quantum level can be interesting. In the gravitational case, we have δ Gravity, based on two symmetric tensors, g μ ν and g ˜ μ ν , where quantum corrections can be controlled. In this paper, a review of the classical limit of δ Gravity in a Cosmological level will be developed, where we explain the accelerated expansion of the universe without

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Clifton, Timothy, Máximo Bañados, and Constantinos Skordis. "The parameterized post-Newtonian limit of bimetric theories of gravity." Classical and Quantum Gravity 27, no. 23 (2010): 235020. http://dx.doi.org/10.1088/0264-9381/27/23/235020.

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Sáez, D. "Parametrized-post-Newtonian limit of the scalar-tetradic theory A." Physical Review D 32, no. 10 (1985): 2575–78. http://dx.doi.org/10.1103/physrevd.32.2575.

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Dyadina, P. I., S. P. Labazova, and S. O. Alexeyev. "Post-Newtonian Limit of Hybrid Metric-Palatini f(R)-Gravity." Journal of Experimental and Theoretical Physics 129, no. 5 (2019): 838–48. http://dx.doi.org/10.1134/s1063776119110025.

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Li, Weijun, Bo Yang, Cunliang Ma, Xia Zhou, Zhongwen Feng, and Guansheng He. "Periastron precession due to a Janis–Newman–Winicour wormhole in the weak field limit." Modern Physics Letters A 36, no. 22 (2021): 2150164. http://dx.doi.org/10.1142/s0217732321501649.

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The precession effect of periastron for a massive test particle in the spacetime of a Janis–Newman–Winicour wormhole is studied in the weak field limit. Based on the metric of this static and spherically symmetric wormhole in harmonic coordinates, we derive the second post-Newtonian dynamics of the particle. The second-order orbital precession of periastron is then obtained via a post-Newtonian iterative technique under the Wagoner–Will–Epstein–Haugan representation. Our result is found to be consistent with the classical precession effect when the asymptotic scalar charge is dropped.

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Roshan, Mahmood, and Fatimah Shojai. "Notes on the post-Newtonian limit of the massive Brans–Dicke theory." Classical and Quantum Gravity 28, no. 14 (2011): 145012. http://dx.doi.org/10.1088/0264-9381/28/14/145012.

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Frauendiener, Jörg, and László B. Szabados. "A note on the post-Newtonian limit of quasi-local energy expressions." Classical and Quantum Gravity 28, no. 23 (2011): 235009. http://dx.doi.org/10.1088/0264-9381/28/23/235009.

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Goldoni, O., M. F. A. da Silva, R. Chan, and G. Pinheiro. "Vaidya solution in general covariant Hořava–Lifshitz gravity with the minimum coupling and without projectability: Infrared limit." International Journal of Modern Physics D 24, no. 02 (2015): 1550021. http://dx.doi.org/10.1142/s0218271815500212.

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In this paper, we have studied nonstationary radiative spherically symmetric spacetime, in general covariant theory (U(1) extension) of the Hořava–Lifshitz gravity with the minimum coupling, in the parameterized post-Newtonian (PPN) approximation, without the projectability condition and in the infrared limit. The Newtonian prepotential φ was assumed null. We have shown that there is not the analog of the Vaidya's solution in the Hořava–Lifshitz Theory with the minimum coupling, as we know in the General Relativity Theory (GRT).

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Saito, Jin, Zhibang Yao, and Tsutomu Kobayashi. "PPN meets EFT of dark energy: post-Newtonian approximation in higher-order scalar-tensor theories." Journal of Cosmology and Astroparticle Physics 2024, no. 06 (2024): 040. http://dx.doi.org/10.1088/1475-7516/2024/06/040.

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Abstract We study the post-Newtonian limit of higher-order scalar-tensor theories that are degenerate in the unitary gauge. They can be conveniently described by the effective field theory (EFT) of dark energy. We determine all the parametrized post-Newtonian (PPN) parameters in terms of the EFT of dark energy parameters. Experimental bounds on the PPN parameters are then translated to constraints on the EFT parameters. We present a Lagrangian of a unitary degenerate higher-order scalar-tensor theory characterized by a single function of the kinetic term of the scalar field whose PPN parameter

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Le Tiec, Alexandre, and Luc Blanchet. "The close-limit approximation for black hole binaries with post-Newtonian initial conditions." Classical and Quantum Gravity 27, no. 4 (2010): 045008. http://dx.doi.org/10.1088/0264-9381/27/4/045008.

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Roxburgh, Ian W. "Post-Newtonian limit of Finsler space theories of gravity and solar system tests." General Relativity and Gravitation 24, no. 4 (1992): 419–31. http://dx.doi.org/10.1007/bf00760417.

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Frauendiener, J., and L. B. Szabados. "Corrigendum: A note on the post-Newtonian limit of quasi-local energy expressions." Classical and Quantum Gravity 29, no. 6 (2012): 069501. http://dx.doi.org/10.1088/0264-9381/29/6/069501.

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Lotte, Baljeet Kaur, and Subodha Mishra. "Effect of post-Newtonian-like self-energy, quantum gravity and exchange correlations on Schwarzschild black hole: Application of uncertainty principle." Modern Physics Letters A 35, no. 11 (2020): 2050081. http://dx.doi.org/10.1142/s0217732320500819.

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The expressions for the corrected radius and the Hawking temperature of a Schwarzschild black hole are derived by calculating the total energy of a self-gravitating system of N fermions when the corrections to gravitational interaction due to post-Newtonian-like self-energy due to two graviton exchange- and one-loop contribution of quantum gravity effect are included. Since the particles are fermions, the exchange-correlation energy is also included consistently. It is found that though the three corrections are small, the correction due to the exchange-correlation is much more than the other

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LIU, DAO-JUN, BIN YANG, and XING-HUA JIN. "A MODIFIED MODEL OF NONLOCALLY CORRECTED GRAVITY: COSMOLOGY AND THE NEWTONIAN LIMIT." Modern Physics Letters A 26, no. 30 (2011): 2287–97. http://dx.doi.org/10.1142/s0217732311036553.

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A modified form of nonlocally corrected theory of gravity is investigated in the context of cosmology and the Newtonian limit. This form of nonlocal correction to classic Einstein–Hilbert action can be locally represented by a triple-scalar–tensor theory in which one of the scalar degrees of freedom is phantom-like and the other two are quintessence-like. We show that there exists a stable de Sitter solution for the cosmological dynamics if a suitable form of potential function V(ϕ) (or equivalently, f(R)) is selected. However, no matter what a potential function is selected, there is always a

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Mai, La-Su, Hai-Liang Li, and Pierangelo Marcati. "Non-relativistic limit analysis of the Chandrasekhar–Thorne relativistic Euler equations with physical vacuum." Mathematical Models and Methods in Applied Sciences 29, no. 03 (2019): 531–79. http://dx.doi.org/10.1142/s0218202519500155.

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Our results provide a first step to make the formal analysis rigorous in terms of [Formula: see text] proposed by Chandrasekhar [S. Chandrasekhar, The post-Newtonian equations of hydrodynamics in general relativity, Astrophys. J. 142 (1965) 1488–1512; S. Chandrasekhar, post-Newtonian equations of hydrodynamics and the stability of gaseous masses in general relativity, Phys. Rev. Lett. 14 (1965) 241–244], motivated by the methods of Einstein, Infeld and Hoffmann, see Thorne [K. S. Thorne, The general-relativistic theory of stellar structure and dynamics, in Proc. Int. School of Physics “Enrico

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MOFFAT, J. W., та V. T. TOTH. "MODIFIED JORDAN–BRANS–DICKE THEORY WITH SCALAR CURRENT AND THE EDDINGTON–ROBERTSON γ-PARAMETER". International Journal of Modern Physics D 21, № 12 (2012): 1250084. http://dx.doi.org/10.1142/s0218271812500848.

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The Jordan–Brans–Dicke theory of gravitation, which promotes the gravitational constant to a dynamical scalar field, predicts a value for the Eddington–Robertson post-Newtonian parameter γ that is significantly different from the general relativistic value of unity. This contradicts precision solar system measurements that tightly constrain γ around 1. We consider a modification of the theory, in which the scalar field is sourced explicitly by matter. We find that this leads to a modified expression for the γ-parameter. In particular, a specific choice of the scalar current yields γ = 1, just

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Friedman, Yaakov, Tzvi Scarr, and Joseph Steiner. "A geometric relativistic dynamics under any conservative force." International Journal of Geometric Methods in Modern Physics 16, no. 01 (2019): 1950015. http://dx.doi.org/10.1142/s0219887819500154.

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Riemann’s principle “force equals geometry” provided the basis for Einstein’s General Relativity — the geometric theory of gravitation. In this paper, we follow this principle to derive the dynamics for any static, conservative force. The geometry of spacetime of a moving object is described by a metric obtained from the potential of the force field acting on it. We introduce a generalization of Newton’s First Law — the Generalized Principle of Inertia stating that: An inanimate object moves inertially, that is, with constant velocity, in its own spacetime whose geometry is determined by the f

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Shao, Lijing, Norbert Wex, and Michael Kramer. "New Constraints on Preferred Frame Effects from Binary Pulsars." Proceedings of the International Astronomical Union 8, S291 (2012): 496–98. http://dx.doi.org/10.1017/s1743921312024647.

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AbstractPreferred frame effects (PFEs) are predicted by a number of alternative gravity theories which include vector or additional tensor fields, besides the canonical metric tensor. In the framework of parametrized post-Newtonian (PPN) formalism, we investigate PFEs in the orbital dynamics of binary pulsars, characterized by the two strong-field PPN parameters, and . In the limit of a small orbital eccentricity, and contributions decouple. By utilizing recent radio timing results and optical observations of PSRs J1012+5307 and J1738+0333, we obtained the best limits of and in the strong-fiel

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Alba, David, and Luca Lusanna. "The Einstein–Maxwell-particle system in the York canonical basis of ADM tetrad gravity. Part 1. The equations of motion in arbitrary Schwinger time gauges 1This paper is one of three companion papers published in the same issue of Can. J. Phys." Canadian Journal of Physics 90, no. 11 (2012): 1017–76. http://dx.doi.org/10.1139/p11-100.

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We study the coupling of N charged scalar particles plus the electromagnetic field to Arnowitt–Deser–Misner (ADM) tetrad gravity and its canonical formulation in asymptotically Minkowskian space–times without super-translations. To regularize the self-energies, both the electric charge and the sign of the energy of the particles are Grassmann-valued. The introduction of the noncovariant radiation gauge allows reformulation of the theory in terms of transverse electromagnetic fields and to extract the generalization of the Coulomb interaction among the particles in the riemannian instantaneous

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Klioner, S. A., E. Gerlach, and M. H. Soffel. "Relativistic aspects of rotational motion of celestial bodies." Proceedings of the International Astronomical Union 5, S261 (2009): 112–23. http://dx.doi.org/10.1017/s174392130999024x.

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AbstractRelativistic modelling of rotational motion of extended bodies represents one of the most complicated problems of Applied Relativity. The relativistic reference systems of IAU (2000) give a suitable theoretical framework for such a modelling. Recent developments in the post-Newtonian theory of Earth rotation in the limit of rigidly rotating multipoles are reported below. All components of the theory are summarized and the results are demonstrated. The experience with the relativistic Earth rotation theory can be directly applied to model the rotational motion of other celestial bodies.

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Sobolenko, Margaryta, Peter Berczik, and Rainer Spurzem. "Large scale direct galaxy collision simulations with central supermassive binary black holes." Proceedings of the International Astronomical Union 10, S312 (2014): 105–8. http://dx.doi.org/10.1017/s1743921315007620.

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AbstractWe present a set of, large scale direct N-body simulations of the galaxy collision with the central Supermassive Black Hole Binary (SMBHB) system. Based on our simulations which include the accurate Post Newtonian (PN) relativistic dynamical corrections we can estimated the merging time for the real astrophysical object. Each galaxy initially was represented as a set of particles (up to N=500k) with Plummer distribution. The SMBHBs system is described using the two special high mass, i.e. “relativistic”, particles. The interaction between these two particles have an extra PN correction

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Sobolenko, M., P. Berczik, and R. Spurzem. "Merging timescale for the supermassive black hole binary in interacting galaxy NGC 6240." Astronomy & Astrophysics 652 (August 2021): A134. http://dx.doi.org/10.1051/0004-6361/202039859.

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Context. One of the mechanisms leading to the creation of a supermassive black hole (SMBH) is the so-called hierarchical merging scenario. Central SMBHs at the final phase of interacting and coalescing host-galaxies are observed as SMBH binary (SMBHB) candidates at different separations from hundreds of parsecs to megaparsecs. Aims. Today one of the strongest SMBHB candidates is the ultraluminous infrared galaxy NGC 6240 which was spatially and spectroscopically resolved in X-rays by Chandra. Dynamical calculation of central SMBHBs merging in a dense stellar environment allows us to retrace th

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Chapman, James, Jin Woo Jang, and Robert M. Strain. "On the Determinant Problem for the Relativistic Boltzmann Equation." Communications in Mathematical Physics 384, no. 3 (2021): 1913–43. http://dx.doi.org/10.1007/s00220-021-04101-2.

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AbstractThis article considers a long-outstanding open question regarding the Jacobian determinant for the relativistic Boltzmann equation in the center-of-momentum coordinates. For the Newtonian Boltzmann equation, the center-of-momentum coordinates have played a large role in the study of the Newtonian non-cutoff Boltzmann equation, in particular we mention the widely used cancellation lemma [1]. In this article we calculate specifically the very complicated Jacobian determinant, in ten variables, for the relativistic collision map from the momentum p to the post collisional momentum $$p'$$

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BECHOUCHE, PHILIPPE, NORBERT J. MAUSER, and SIGMUND SELBERG. "ON THE ASYMPTOTIC ANALYSIS OF THE DIRAC–MAXWELL SYSTEM IN THE NONRELATIVISTIC LIMIT." Journal of Hyperbolic Differential Equations 02, no. 01 (2005): 129–82. http://dx.doi.org/10.1142/s0219891605000415.

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We study the behavior of solutions of the Dirac–Maxwell system (DM) in the nonrelativistic limit c → ∞, where c is the speed of light. DM is a nonlinear system of PDEs obtained by coupling the Dirac equation for a 4-spinor to the Maxwell equations for the self-consistent field created by the moving charge of the spinor. The limit c → ∞, sometimes also called post-Newtonian, yields a Schrödinger–Poisson system, where the spin and magnetic field no longer appear. We prove that DM is locally well-posed for H1 data (for fixed c), and that as c → ∞ the existence time grows at least as fast as log(c

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Chrobok, Thoralf, and Horst-Heino von Borzeszkowski. "Relativistic Theory of Irreversible Thermodynamics for Multi-Component Fluids and Its Post-Newtonian Limit in Relation to Classical Extended Thermodynamics." Journal of Non-Equilibrium Thermodynamics 45, no. 2 (2020): 133–53. http://dx.doi.org/10.1515/jnet-2019-0069.

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AbstractFirst, the special-relativistic Theory of Irreversible Processes for a multi-component fluid is formulated. It is based on (i) the balance equations of the particle number and the energy-momentum for the total system (i. e., the mixture of the components) as well as the sub-systems (i. e., the components) and (ii) the dissipation inequality and the Gibbs equation for the mixture. In order to allow for reactions between the single components, in contrast to the total system, the sub-systems are assumed to be open, which means that their particle number and energy-momentum are not constr

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Kopeikin, Sergei M., and Carl R. Gwinn. "Sub-Microarcsecond Astrometry and New Horizons in Relativistic Gravitational Physics." International Astronomical Union Colloquium 180 (March 2000): 303–7. http://dx.doi.org/10.1017/s0252921100000439.

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AbstractAttaining the limit of sub-microarcsecond optical resolution will completely revolutionize fundamental astrometry by merging it with relativistic gravitational physics. Beyond the sub-microarcsecond threshold, one will meet in the sky a new population of physical phenomena caused by primordial gravitational waves from the early universe and/or different localized astronomical sources, space-time topological defects, moving gravitational lenses, time variability of gravitational fields of the solar system and binary stars, and many others. Adequate physical interpretation of these yet u

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HE, G., and W. LIN. "ROTO-TRANSLATIONAL EFFECTS ON DEFLECTION OF LIGHT AND PARTICLE BY MOVING KERR BLACK HOLE." International Journal of Modern Physics D 23, no. 04 (2014): 1450031. http://dx.doi.org/10.1142/s021827181450031x.

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Velocity effects in first-order Schwarzschild deflection of light and particles have been explored in the previous literature. In this paper, we investigate the roto-translational-motion induced deflection by one moving Kerr black hole with an arbitrary, but constant speed. It is shown that the coupling between the effects of the rotation and the translational motion always exists for both light and particles. The contribution of the roto-translational deflection to the total bending angle is discussed in detail. This ratio takes upper limit for light and it decreases monotonically with increa

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Konoplya, R. A., and A. Zhidenko. "General black-hole metric mimicking Schwarzschild spacetime." Journal of Cosmology and Astroparticle Physics 2023, no. 08 (2023): 008. http://dx.doi.org/10.1088/1475-7516/2023/08/008.

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Abstract Using the general parametrization of spherically symmetric and asymptotically flat black holes in arbitrary metric theories of gravity and implying that: a) the post-Newtonian constraints are taken into account and b) basic astrophysically relevant characteristics (such as, dominant quasinormal modes, frequency at the innermost stable circular orbit, binding energy, radius of the shadow etc.) are indistinguishable from their Schwarzschild values, we propose a simple metric which depends on three independent parameters (coefficients of the parametrization). Variation of these three par

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Will, Clifford M. "The confrontation between general relativity and experiment." Proceedings of the International Astronomical Union 5, S261 (2009): 198–99. http://dx.doi.org/10.1017/s174392130999038x.

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AbstractWe review the experimental evidence for Einstein's general relativity. A variety of high precision null experiments confirm the Einstein Equivalence Principle, which underlies the concept that gravitation is synonymous with spacetime geometry, and must be described by a metric theory. Solar system experiments that test the weak-field, post-Newtonian limit of metric theories strongly favor general relativity. Binary pulsars test gravitational-wave damping and aspects of strong-field general relativity. During the coming decades, tests of general relativity in new regimes may be possible

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Khlopunov, M., and D. V. Gal'tsov. "Gravitational radiation from a binary system in odd-dimensional spacetime." Journal of Cosmology and Astroparticle Physics 2022, no. 04 (2022): 014. http://dx.doi.org/10.1088/1475-7516/2022/04/014.

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Abstract We explore possible manifestations of an odd number of extra dimensions in gravitational radiation, which are associated with violation of Huygens' principle in flat odd-dimensional spacetime. Our setup can be regarded as the limit of an infinite compactification radius in ADD model and is not viable as realistic cosmology, but it still may be useful as a simple analytically solvable model catching certain features of more realistic scenarios. The model consists of two point masses moving inside a flat three-dimensional brane, embedded in a five-dimensional Minkowski space and interac

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Bonetti, Matteo, Alberto Sesana, Enrico Barausse, and Francesco Haardt. "Post-Newtonian evolution of massive black hole triplets in galactic nuclei – III. A robust lower limit to the nHz stochastic background of gravitational waves." Monthly Notices of the Royal Astronomical Society 477, no. 2 (2018): 2599–612. http://dx.doi.org/10.1093/mnras/sty874.

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Zakharov, A. F. "Trajectories of Bright Stars and Shadows around Supermassive Black Holes as Tests of Gravity Theories." Physics of Particles and Nuclei 54, no. 5 (2023): 889–95. http://dx.doi.org/10.1134/s1063779623050234.

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Abstract General relativity (GR), created more than a century ago, has been checked in various experimental and observational tests. At an early stage of its development, GR predictions were tested in problems where the gravitational field is weak and relativistic corrections can be considered as small perturbations of the Newtonian theory of gravity. However, in recent years due to the progress of new technologies it turned out to be possible to verify the predictions of GR in the limit of a strong gravitational field, as it was done to verify predictions about the profile of the X-ray line o

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Szekeres, Peter. "Newtonian and Post-Newtonian Limits of Relativistic Cosmology." General Relativity and Gravitation 32, no. 6 (2000): 1025–39. http://dx.doi.org/10.1023/a:1001965526092.

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Boshkayev, K., A. Malybayev, H. Quevedo, G. Nurbakyt, A. Taukenova, and A. Urazalina. "THE CORRESPONDENCE OF THE EREZ-ROSEN SOLUTION WITH THE HARTLE-THORNE SOLUTION IN THE LIMITING CASE OF ~ࡽ AND ~ࡹ૛." PHYSICO-MATHEMATICAL SERIES 5, no. 333 (2020): 19–27. http://dx.doi.org/10.32014/2020.2518-1726.78.

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The link between exterior solutions to the Einstein gravitational field equations such as the exact Erez-Rosen metric and approximate Hartle-Thorne metric is established here for the static case in the limit of linear mass quadrupole moment (Q) and second order terms in total mass (M). To this end, the Geroch-Hansen multipole moments are calculated for the Erez-Rosen and Hartle-Thorne solutions in order to find the relationship among the parameters of both metrics. The coordinate transformations are sought in a general form with two unknown functions in the corresponding limit of ~Q and ~M^2.

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Levesque, Emily M., Henny J. G. L. M. Lamers, and Alex de Koter. "The Effect of Rotation on Triggering S Doradus Instabilities in Luminous Blue Variables." Astrophysical Journal 981, no. 2 (2025): 176. https://doi.org/10.3847/1538-4357/adb581.

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Abstract Luminous blue variables (LBVs) are an intermediate stage in the evolution of high-mass stars characterized by extreme mass loss and substantial variability. The stars show large irregular episodic variations on timescales of years to decades in their effective temperatures (called “S Dor variations”). Observations show that these variations are triggered when the stars are in a well-defined strip in the H-R diagram that corresponds to the Modified Eddington Limit, where the atmospheric radiation pressure almost balances gravity. In this work we consider the role that rotation plays in

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Sen, Kaustubha, Tetsuya Hashimoto, Tomotsugu Goto, et al. "Constraining violations of the weak equivalence principle Using CHIME FRBs." Monthly Notices of the Royal Astronomical Society 509, no. 4 (2021): 5636–40. http://dx.doi.org/10.1093/mnras/stab3344.

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ABSTRACT Einstein’s General relativity (GR) is the basis of modern astronomy and astrophysics. Testing the validity of basic assumptions of GR is important. In this work, we test a possible violation of the weak equivalence principle (WEP), i.e. there might be a time lag between photons of different frequencies caused by the effect of gravitational fields if the speeds of photons are slightly different at different frequencies. We use Fast radio bursts (FRBs), which are astronomical transients with millisecond time-scales detected in the radio frequency range. Being at cosmological distances,

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Rannu, K. A., P. I. Dyadina, and S. O. Alexeyev. "Post-Newtonian limits for Randall-Sundrum model." Journal of Physics: Conference Series 600 (April 28, 2015): 012049. http://dx.doi.org/10.1088/1742-6596/600/1/012049.

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Alba, David, and Luca Lusanna. "The Einstein–Maxwell-particle system in the York canonical basis of ADM tetrad gravity. Part 3. The post-minkowskian N-body problem, its post-newtonian limit in nonharmonic 3-orthogonal gauges and dark matter as an inertial effect 1This paper is one of three companion papers published in the same issue of Can. J. Phys." Canadian Journal of Physics 90, no. 11 (2012): 1131–78. http://dx.doi.org/10.1139/p11-102.

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We conclude the study of the post-minkowskian (PM) linearization of ADM tetrad gravity in the York canonical basis for asymptotically minkowskian space–times in the family of nonharmonic 3-orthogonal gauges parametrized by the York time 3K(τ, s) (the inertial gauge variable, not existing in Newton gravity, describing the general relativistic remnant of the freedom in clock synchronization in the definition of the shape of the instantaneous 3-spaces as 3-submanifolds of space–time). As matter we consider only N scalar point particles with a Grassmann regularization of the self-energies and with

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Vázquez-Aceves, Verónica, Lorenz Zwick, Elisa Bortolas, et al. "Revised event rates for extreme and extremely large mass-ratio inspirals." Monthly Notices of the Royal Astronomical Society 510, no. 2 (2021): 2379–90. http://dx.doi.org/10.1093/mnras/stab3485.

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ABSTRACT One of the main targets of the Laser Interferometer Space Antenna (LISA) is the detection of extreme mass-ratio inspirals (EMRIs) and extremely large mass-ratio inspirals (X-MRIs). Their orbits are expected to be highly eccentric and relativistic when entering the LISA band. Under these circumstances, the inspiral time-scale given by Peters’ formula loses precision and the shift of the last-stable orbit (LSO) caused by the massive black hole spin could influence the event rates estimate. We re-derive EMRIs and X-MRIs event rates by implementing two different versions of a Kerr loss-co

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Liu, K., L. Guillemot, A. G. Istrate, et al. "A revisit of PSR J1909−3744 with 15-yr high-precision timing." Monthly Notices of the Royal Astronomical Society 499, no. 2 (2020): 2276–91. http://dx.doi.org/10.1093/mnras/staa2993.

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ABSTRACT We report on a high-precision timing analysis and an astrophysical study of the binary millisecond pulsar, PSR J1909−3744, motivated by the accumulation of data with well improved quality over the past decade. Using 15 yr of observations with the Nançay Radio Telescope, we achieve a timing precision of approximately 100 ns. We verify our timing results by using both broad-band and sub-band template matching methods to create the pulse time-of-arrivals. Compared with previous studies, we improve the measurement precision of secular changes in orbital period and projected semimajor axis

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Carlos, David Pérez, Augusto Espinoza, and Andrew Chubykalo. "Post-Newtonian limit: second-order Jefimenko equations." European Physical Journal C 80, no. 7 (2020). http://dx.doi.org/10.1140/epjc/s10052-020-8229-7.

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Abstract The purpose of this paper is to get second-order gravitational equations, a correction made to Jefimenko’s linear gravitational equations. These linear equations were first proposed by Oliver Heaviside in [1], making an analogy between the laws of electromagnetism and gravitation. To achieve our goal, we will use perturbation methods on Einstein field equations. It should be emphasized that the resulting system of equations can also be derived from Logunov’s non-linear gravitational equations, but with different physical interpretation, for while in the former gravitation is considere

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Flathmann, Kai, and Manuel Hohmann. "Post-Newtonian limit of generalized symmetric teleparallel gravity." Physical Review D 103, no. 4 (2021). http://dx.doi.org/10.1103/physrevd.103.044030.

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Hohmann, Manuel. "Parametrized post-Newtonian limit of Horndeski’s gravity theory." Physical Review D 92, no. 6 (2015). http://dx.doi.org/10.1103/physrevd.92.064019.

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