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The status of experimental tests of general relativity and of theoretical frameworks for analysing them are reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the E\"otv\"os experiment, tests of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Clifford M. Will

In most studies of equivalence principle violation by solar system bodies, it is assumed that the ratio of gravitational to inertial mass for a given body deviates from unity by a parameter Delta which is proportional to its gravitational…

General Relativity and Quantum Cosmology · Physics 2009-12-30 J. M. Overduin

The equivalence principle, that is one of the main pillars of general relativity, is very well tested in the Solar system; however, its validity is more uncertain on cosmological scales, or when dark matter is concerned. This article shows…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-31 Camille Bonvin , Pierre Fleury

The theory of General Relativity has successfully passed a large number of observational tests. The theory has been extensively tested in the weak-field regime with experiments in the Solar System and observations of binary pulsars.…

High Energy Astrophysical Phenomena · Physics 2023-02-14 Dimitry Ayzenberg , Cosimo Bambi

Recently, gravitational microlensing has been investigated in the framework of the weak field limit of fourth order gravity theory. However, solar system data (i.e. planetary periods and light bending) can be used to put strong constraints…

Astrophysics · Physics 2009-11-11 A. F. Zakharov , A. A. Nucita , F. De Paolis , G. Ingrosso

The theory of General Relativity has successfully passed a large number of observational tests. The theory has been extensively tested in the weak-field regime with experiments in the Solar System and observations of binary pulsars. The…

General Relativity and Quantum Cosmology · Physics 2021-03-23 Cosimo Bambi

We discuss the influence of the cosmological constant $\Lambda$ on the gravitational equations of motion of bodies with arbitrary masses and eventually solve the two-body problem. Observational constraints are derived from measurements of…

Astrophysics · Physics 2009-11-13 Philippe Jetzer , Mauro Sereno

We explore the possibility of testing modified gravity exhibiting the Vainshtein mechanism against observations of cluster lensing. We work in the most general scalar-tensor theory with second-order field equations (Horndeski's theory), and…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-14 Tatsuya Narikawa , Tsutomu Kobayashi , Daisuke Yamauchi , Ryo Saito

We suggest that a satellite with a stable atomic clock on board be sent through the Earth-Sun gravitational saddle point to experimentally determine whether Nature prefers static solutions of the field equations of General Relativity, such…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tom Martin

We review the implications of modern higher-dimensional theories of gravity for astrophysics and cosmology. In particular, we discuss the latest developments of space-time-matter theory in connection with dark matter, particle dynamics and…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Tomas Liko , James M. Overduin , Paul S. Wesson

We have developed a method to study the effects of a perturbation to the motion of a test point--like object in a Schwarzschild spacetime. Such a method is the extension of the Lagrangian planetary equations of classical celestial mechanics…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Mirco Calura , Enrico Montanari , Pierluigi Fortini

The status of experimental tests of general relativity and of theoretical frameworks for analyzing them are reviewed and updated. Einstein's equivalence principle (EEP) is well supported by experiments such as the Eotvos experiment, tests…

General Relativity and Quantum Cosmology · Physics 2014-08-06 Clifford M. Will

In this contribution, we calculate the light deflection, perihelium shift, time delay and gravitational redshift using an approximate metric that contains the Kerr metric and an approximaction of the Erez-Rosen spacetime. The results were…

General Relativity and Quantum Cosmology · Physics 2019-08-09 J. R. Arce-Gamboa , F. Frutos-Alfaro

Canonically, `classic' tests of general relativity (GR) include perihelion precession, the bending of light around stars, and gravitational redshift; `modern' tests have to do with, inter alia, relativistic time delay, equivalence principle…

History and Philosophy of Physics · Physics 2024-10-22 William J. Wolf , Marco Sanchioni , James Read

Recent theoretical works on alternative metric theories of gravity give greater significance to solar-system tests of General Relativity. In particular, it is suggested that the post-Newtonian parameter $\gamma$ ought to be determined with…

Astrophysics · Physics 2009-09-25 Giacomo Giampieri

We discuss solar system constraints on f(G) gravity models, where f is a function of the Gauss-Bonnet term G. We focus on cosmologically viable f(G) models that can be responsible for late-time cosmic acceleration. These models generally…

High Energy Physics - Theory · Physics 2010-03-26 Antonio De Felice , Shinji Tsujikawa

This paper is based on the study of the paper of Scardigli and Casadio [Eur. Phys. J. C (2015) 75:425] where the authors computed the light deflection and perihelion precession for the Generalized Uncertainty Principle (GUP) modified…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Özgür Ökcü , Ekrem Aydiner

We calculate the orbits of a particle in Schwarzschild spacetime, assuming that the dynamics is governed by a Snyder symplectic structure. With this assumption, the perihelion shift of the planets acquires an additional contribution with…

General Relativity and Quantum Cosmology · Physics 2015-06-19 S. Mignemi , R. Strajn

This study investigates the potential of the Sagnac Effect for detecting dark matter in the Solar System, particularly within the Sun. Originating from the relative delay and interference of light beams traveling in opposite directions on…

General Relativity and Quantum Cosmology · Physics 2024-12-03 A. D. S. Souza , C. R. Muniz , R. M. P. Neves , M. B. Cruz

In the present letter we examine the possibility of constraining dyon black holes based on the available observational data at the scale of the Solar system. For this we consider the classical tests of general relativity, viz., the…

General Relativity and Quantum Cosmology · Physics 2018-11-27 Farook Rahaman , Sabiruddin Molla , Amna Ali , Saibal Ray