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We consider the feasibility of using the Galileo Navigation Satellite System to constrain possible extensions or modifications to General Relativity, by assessing the impact of the related additions to the Newtonian potential and comparing…

General Relativity and Quantum Cosmology · Physics 2011-08-25 O. Bertolami , J. Páramos

We consider the impact of a power-law correction to the Newtonian potential, inspired by ungravity or $f(R)$ extensions of the Standard Model, and draw conclusions on the possibility of measuring the relevant parameters through observables…

General Relativity and Quantum Cosmology · Physics 2009-10-20 J. Páramos , O. Bertolami

Today, the Global Navigation Satellite Systems, used as global positioning systems, are the GPS and the GLONASS. They are based on a Newtonian model and hence they are only operative when several relativistic effects are taken into account.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. -F. Pascual-Sanchez

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

Galileon gravity is a robust theoretical alternative to general relativity with a cosmological constant for explaining cosmic acceleration, with interesting properties such as having second order field equations and a shift symmetry. While…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Stephen A. Appleby , Eric V. Linder

Cosmological observations are beginning to reach a level of precision that allow us to test some of the most fundamental assumptions in our working model of the Universe. One such an assumption is that gravity is governed by the General…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-11 Pedro G. Ferreira

In this paper we investigate the possibility of measuring the post-Newtonian general relativistic gravitomagnetic Lense-Thirring effect in the Jovian system of its Galilean satellites Io, Europa, Ganymede and Callisto in view of recent…

General Relativity and Quantum Cosmology · Physics 2013-10-24 Lorenzo Iorio , Valery Lainey

The paper concerns the use of satellites of the Galileo constellation for relativistic positioning and for measurements of the gravito-magnetic effects induced by the angular momentum both of the Earth and of the dark halo of the Milky Way.…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Angelo Tartaglia

All experiments to date are in remarkable agreement with the predictions of Einstein's theory of gravity, General Relativity. Besides the classical tests, involving light deflection, orbit precession, signal delay, and the gravitational…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Jan Scheumann , Dennis Philipp , Sven Herrmann , Eva Hackmann , Benny Rievers , Javier Ventura-Traveset , Luis Mendes , Claus Lämmerzahl

General relativity is exquisitely tested in strong-field regimes, yet its validity on cosmological scales remains largely unexplored. Upcoming wide and deep large-scale structure surveys will access the ultra-large, linear scales where…

Galileon gravity offers a robust gravitational theory for explaining cosmic acceleration, having a rich phenomenology of testable behaviors. We explore three classes of Galileon models -- standard uncoupled, and linearly or derivatively…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Stephen A. Appleby , Eric V. Linder

Relativity is an integral part of positioning systems, and this is taken into account in today's practice by applying many "relativistic corrections" to computations performed using concepts borrowed from Galilean physics. A different,…

General Relativity and Quantum Cosmology · Physics 2009-05-27 Albert Tarantola , Ludek Klimes , Jose Maria Pozo , Bartolome Coll

The paper is concerned with the development of a gravitational field theory having locally a covariant version of the Galilei group. We show that this Galilean gravity can be used to study the advance of perihelion of a planet, following in…

General Relativity and Quantum Cosmology · Physics 2009-11-30 S. C. Ulhoa , F. C. Khanna , A. E. Santana

General Relativity is the modern theory of gravitation. It has replaced the newtonian theory in the description of the gravitational phenomena. In spite of the remarkable success of the General Relativity Theory, the newtonian gravitational…

General Relativity and Quantum Cosmology · Physics 2015-01-09 J. C. Fabris , H. Velten

Alternative theories of gravity may serve to overcame several shortcomings of the standard cosmological model but, in their weak field limit, General Relativity must be recovered so as to match the tight constraints at the Solar System…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Mariafelicia De Laurentis , Ivan De Martino , Ruth Lazkoz

After a short review of experimental foundations of metric theories of gravity, the choice of general relativity as a theory to be used for the routine modeling of Gaia observations is justified. General principles of relativistic modeling…

Astrophysics · Physics 2007-05-23 Sergei A. Klioner

We establish a correspondence between general relativity with diffeomorphism invariance and scalar field theories with Galilean invariance: notions such as the Levi-Civita connection and the Riemann tensor have a Galilean counterpart. This…

High Energy Physics - Theory · Physics 2016-03-02 Remko Klein , Mehmet Ozkan , Diederik Roest

We extend previous analyses of wide-angle correlations in the galaxy power spectrum in redshift space to include all general relativistic effects. These general relativistic corrections to the standard approach become important on large…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-17 Daniele Bertacca , Roy Maartens , Alvise Raccanelli , Chris Clarkson

Deviations from general relativity, such as could be responsible for the cosmic acceleration, would influence the growth of large scale structure and the deflection of light by that structure. We clarify the relations between several…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Scott F. Daniel , Eric V. Linder , Tristan L. Smith , Robert R. Caldwell , Asantha Cooray , Alexie Leauthaud , Lucas Lombriser

The tests of the constancy of the fundamental constants are tests of the local position invariance and thus of the equivalence principle. We summarize the various constraints that have been obtained and then describe the connection between…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Jean-Philippe Uzan
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