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The Eddington-inspired Born-Infeld (EiBI) theory of gravity modifies general relativity in high-density regimes. It offers an alternative framework that avoids cosmological singularities and remodels gravitational dynamics within compact…

High Energy Physics - Phenomenology · Physics 2025-07-30 The MMGPDs Collaboration , Muhammad Goharipour , Anoushiravan Moradi , K. Azizi

Horndeski gravity holds a special position as the most general extension of Einstein's theory of general relativity with a single scalar degree of freedom and second-order field equations. Because of these features, Horndeski gravity is an…

General Relativity and Quantum Cosmology · Physics 2016-06-23 Hector O. Silva , Andrea Maselli , Masato Minamitsuji , Emanuele Berti

We present an improvement to the Classical Effective Theory approach to the non-relativistic or Post-Newtonian approximation of General Relativity. The "potential metric field" is decomposed through a temporal Kaluza-Klein ansatz into three…

High Energy Physics - Theory · Physics 2008-11-26 Barak Kol , Michael Smolkin

We study gravitational lensing by compact objects in gravity theories that can be written in a Post-Post-Newtonian (PPN) framework: i.e., the metric is static and spherically symmetric, and can be written as a Taylor series in m/r, where m…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Charles R. Keeton , A. O. Petters

We present a phenomenological analysis of current observational constraints on classes of FLRW cosmological models in which the matter side of Einstein's equations includes, in addition to the canonical term, a term proportional to some…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-04 E. -A. Kolonia , C. J. A. P. Martins

Einstein's theory of gravity has been extensively tested on solar system scales, and for isolated astrophysical systems, using the perturbative framework known as the parameterized post-Newtonian (PPN) formalism. This framework is designed…

General Relativity and Quantum Cosmology · Physics 2017-02-24 Viraj A. A. Sanghai , Timothy Clifton

In this article we present a particular theory of gravity in which Einstein's field equations are modified by promoting Newton's constant $G$ to a covariant differential operator $G_\Lambda(\Box_g)$. The general idea was obviously outlined…

General Relativity and Quantum Cosmology · Physics 2016-07-15 Alain Dirkes

General Relativity has shown an outstanding observational success in the scales where it has been directly tested. However, modifications have been intensively explored in the regimes where it seems either incomplete or signals its own…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Jose Beltran Jimenez , Lavinia Heisenberg , Gonzalo J. Olmo , Diego Rubiera-Garcia

General relativity has been very successful since its proposal more a century ago. However, various cosmological observations and theoretical consistency still motivate us to explore extended gravity theories. Horndeski gravity stands out…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Wen-Hao Wu , Yong Tang

We present a theoretical foundation for relativistic astronomical measurements in curved space-time. In particular, we discuss a new iterative approach for describing the dynamics of an astronomical N-body system. To do this, we generalize…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev

Gravitational waves (GWs) from compact binaries are excellent probes of gravity in the strong- and dynamical-field regimes. We report a test of general relativity (GR) with the third GW Transient Catalog (GWTC-3) plus a few O4 events using…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Yiqi Xie , Gautham Narayan , Nicolás Yunes

On the basis of Lagrangian formalism of relativistic field theory post-Newtonian equations of motion for a rotating body are derived in the frame of Feynman's quantum field gravity theory (FGT) and compared with corresponding geodesic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yurij V. Baryshev

We present a novel method to study interacting orbits in a fixed mean gravitational field associated with a solution of the Einstein field equations. The idea is to consider the Newton gravity among the orbiting particles in a geometry…

Astrophysics · Physics 2007-05-23 Eduardo Gueron , Patricio S. Letelier

We investigate the gravitational field of an extended spherically symmetric body within the framework of Extended Relativity (ER), a Lorentz-covariant formulation of relativistic gravity on a Minkowski background. Using a relativistic…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Y. Friedman , S. I. Klimovsky

General relativity predicts mass and spin growth of an inspiralling black hole due to an energy-momentum flux flowing through the black-hole horizon. The leading-order terms of this horizon flux introduce 2.5 and 3.5 post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Kwun-Hang Lai , Tjonnie Guang Feng Li

Gravitational wave observations have great potential to reveal new information about the fundamental nature of gravity, but extracting that information can be difficult. One popular technique is the parametrized inspiral test of general…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Scott Perkins , Nicolas Yunes

General relativity has passed all solar system experiments and neutron star based tests, such as binary pulsar observations, with flying colors. A more exotic arena for testing general relativity is in systems that contain one or more black…

General Relativity and Quantum Cosmology · Physics 2016-02-19 Kent Yagi , Leo C. Stein

In this paper we study the observational constraints that can be imposed on the coupling parameter, $\hat \alpha$, of the regularized version of the 4-dimensional Einstein-Gauss-Bonnet theory of gravity. We use the scalar-tensor field…

General Relativity and Quantum Cosmology · Physics 2020-10-08 Timothy Clifton , Pedro Carrilho , Pedro G. S. Fernandes , David J. Mulryne

We bring together two popular formalisms which generically parameterise deviations from General Relativity on astrophysical and cosmological scales, namely the parameterised post-Newtonian (PPN) formalism and the effective field theory…

General Relativity and Quantum Cosmology · Physics 2021-01-29 Cyril Renevey , Joe Kennedy , Lucas Lombriser

This review is focused on tests of Einstein's theory of general relativity with gravitational waves that are detectable by ground-based interferometers and pulsar-timing experiments. Einstein's theory has been greatly constrained in the…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Nicolas Yunes , Xavier Siemens , Kent Yagi