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In this review we aim to describe the most stringent tests of the strong equivalence principle, the fundamental principle of General Relativity, using pulsar timing. For this purpose, we first construct the parametrized post-Newtonian and…

General Relativity and Quantum Cosmology · Physics 2019-06-10 Cyril Renevey

Recently we discussed a multimetric gravity theory containing several copies of standard model matter each of which couples to its own metric tensor. This construction contained dark matter sectors interacting repulsively with the visible…

General Relativity and Quantum Cosmology · Physics 2010-10-15 Manuel Hohmann , Mattias N. R. Wohlfarth

We discuss the post-Newtonian limit of multimetric gravity theories with $N \geq 2$ metric tensors and a corresponding number of standard model copies, and construct an extension of the parameterized post-Newtonian (PPN) formalism. This…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Manuel Hohmann

In the framework of the parametrized post-Newtonian (PPN) formalism, we substantiate an idea according to which we can measure the value of the cosmological gravitational potential $\Phi$ at the location of the Solar System, which is formed…

General Physics · Physics 2020-11-12 V. I. Yudin , A. V. Taichenachev

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

The current effort to test General Relativity employs multiple disparate formalisms for different observables, obscuring the relations between laboratory, astrophysical and cosmological constraints. To remedy this situation, we develop a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-09 Tessa Baker , Dimitrios Psaltis , Constantinos Skordis

The motivations for investigating a theory of gravitation based on a concept of "ether" are discussed-- a crucial point is the existence of an alternative interpretation of special relativity, named the Lorentz-Poincar\'e ether theory. The…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mayeul Arminjon

Tests of gravity performed in the solar system show a good agreement with general relativity. The latter is however challenged by observations at larger, galactic and cosmic, scales which are presently cured by introducing "dark matter" or…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Serge Reynaud , Marc-Thierry Jaekel

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 review the general relativistic theory of the motion, and of the timing, of binary systems containing compact objects (neutron stars or black holes). Then we indicate the various ways one can use binary pulsar data to test the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thibault Damour

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 2016-10-19 Clifford M. Will

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

We build up a new phenomenological framework associated with a minimal generalization of Einsteinian gravitation theory. When linearity, stationarity and isotropy are assumed, tests in the solar system are characterized by two potentials…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Marc-Thierry Jaekel , Serge Reynaud

Recent experiments have successfully tested Einstein's general theory of relativity to remarkable precision. We discuss recent progress in the tests of relativistic gravity in the solar system and present motivations for the new generation…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Slava G. Turyshev

The theory of measurement is employed to elucidate the physical basis of general relativity. For measurements involving phenomena with intrinsic length or time scales, such scales must in general be negligible compared to the (translational…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Bahram Mashhoon

Pulsars of very different types - isolated objects, and binaries with short- and long-period orbits, white-dwarf and neutron-star companions - provide the means to test both the predictions of general relativity and the viability of…

Astrophysics · Physics 2015-06-24 Ingrid H. Stairs

Gravitational wave astronomy has tremendous potential for studying extreme astrophysical phenomena and exploring fundamental physics. The waves produced by binary black hole mergers will provide a pristine environment in which to study…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Neil Cornish , Laura Sampson , Nico Yunes , Frans Pretorius

Post-Newtonian theory was instrumental in conducting the critical experimental tests of general relativity and in building the astronomical ephemerides of celestial bodies in the solar system with an unparalleled precision. The cornerstone…

General Relativity and Quantum Cosmology · Physics 2012-09-06 Sergei Kopeikin

In this paper we study the effects of $f(R)$ Theories of Gravity on Solar System gravitational tests. In particular, starting from an exact solution of the field equation in vacuum, in the Palatini formalism, we work out the effects that…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Matteo Luca Ruggiero , Lorenzo Iorio

Gravitation might make a preferred frame appear, and with it a clear space/time separation--the latter being, a priori, needed by quantum mechanics (QM) in curved space-time. Several models of gravitation with an ether are discussed: they…

General Relativity and Quantum Cosmology · Physics 2008-04-07 Mayeul Arminjon