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The Laser Astrometric Test Of Relativity (LATOR) is a Michelson-Morley-type experiment designed to achieve a major improvement in the accuracy of the tests of relativistic gravity in the solar system. By using a combination of independent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev , Michael Shao , Kenneth L. Nordtvedt

Recently, a new kind of $f(z)$ theory is proposed to provide a different perspective for the development of reliable alternative models of gravity in which the $f(R)$ Lagrangian terms are reformulated as polynomial parameterizations $f(z)$.…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-15 Ji-Yao Wang , Chao-Jun Feng , Xiang-Hua Zhai , Xin-Zhou Li

Tests of gravity are important to the development of our understanding of gravitation and spacetime. Binary pulsars provide a superb playground for testing gravity theories. In this chapter we pedagogically review the basics behind pulsar…

High Energy Astrophysical Phenomena · Physics 2024-07-12 Zexin Hu , Xueli Miao , Lijing Shao

Starting from a static spherically symmetric solution of the Einstein's field equations in the second approximation in the perfect fluid scheme, in the exterior of the source, the corresponding metrics depend on a dimensionless parameter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nicholas Ionescu-Pallas , Marius I. Piso , Silvia Onofrei

Doppler tracking of interplanetary spacecraft provides the only method presently available for broad-band searches of low frequency gravitational waves. The instruments have a peak sensitivity around the reciprocal of the round-trip…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Bruno Bertotti , Alberto Vecchio , Luciano Iess

The Laser Astrometric Test of Relativity (LATOR) is a Michelson-Morley-type experiment designed to test the Einstein's general theory of relativity in the most intense gravitational environment available in the solar system -- the close…

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

On August 22, 2014, the satellites GSAT-0201 and GSAT-0202 of the European GNSS Galileo were unintentionally launched into eccentric orbits. Unexpectedly, this has become a fortunate scientific opportunity since the onboard hydrogen masers…

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

In this paper the most recent developments in testing General Relativity in the gravitational field of the Earth with the technique of Satellite Laser Ranging are presented. In particular, we concentrate our attention on some…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Lorenzo Iorio

Since last two decades $f(R)$ gravity theory has been extensively used as a serious alternative of general relativity to mimic the effects of dark energy. The theory presents a Yukawa correction to Newtonian gravitational potential, acting…

General Relativity and Quantum Cosmology · Physics 2025-05-02 Debojit Paul , Sanjeev Kalita

The discovery of the first pulsar in a binary star system, the Hulse--Taylor pulsar, 50 years ago opened up an entirely new field of experimental gravity. For the first time it was possible to investigate strong-field and radiative aspects…

General Relativity and Quantum Cosmology · Physics 2024-07-24 Paulo C. C. Freire , Norbert Wex

Here we explore the possibility of extending to the Solar System scenario the combined residual approach employed for the deterination of the Lense-Thirring effect in the Earth-LAGEOS satellites system. After calculating the secular…

General Relativity and Quantum Cosmology · Physics 2013-11-04 Lorenzo Iorio

The most precise test of the post-Newtonian gamma parameter in the solar system has been achieved in measurement of the frequency shift of radio waves to and from the Cassini spacecraft as they passed near the Sun. The test relies upon the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. M. Kopeikin , A. G. Polnarev , G. Schaefer , I. Yu. Vlasov

The study of post-Einsteinian metric extensions of general relativity (GR), which preserve the metric interpretation of gravity while considering metrics which may differ from that predicted by GR, is pushed one step further. We give a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marc-Thierry Jaekel , Serge Reynaud

We reexamine non-Einsteinian effects observable in the orbital motion of low-orbit artificial Earth satellites. The motivations for doing so are twofold: (i) recent theoretical studies suggest that the correct theory of gravity might…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Thibault Damour , Gilles Esposito-Farese

We review recent developments and results in testing general relativity (GR) at cosmological scales. The subject has witnessed rapid growth during the last two decades with the aim of addressing the question of cosmic acceleration and the…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-09 Mustapha Ishak

Modifications of general relativity provide an alternative explanation to dark energy for the observed acceleration of the universe. We review recent developments in modified gravity theories, focusing on higher dimensional approaches and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Bhuvnesh Jain , Justin Khoury

In this proceeding, we show how observations of Solar System Objects with Gaia can be used to test General Relativity and to constrain modified gravitational theories. The high number of Solar System objects observed and the variety of…

General Relativity and Quantum Cosmology · Physics 2018-06-13 A. Hees , C. Le Poncin-Lafitte , D. Hestroffer , P. David

The properties of gravitational-wave (GW) propagation are modified in alternative theories of gravity and are crucial observables to test gravity at cosmological distance. The propagation speed has already been measured from GW170817 so…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Atsushi Nishizawa , Shun Arai

We summarise the scientific and technological aspects of the SAGAS (Search for Anomalous Gravitation using Atomic Sensors) project, submitted to ESA in June 2007 in response to the Cosmic Vision 2015-2025 call for proposals. The proposed…