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Low-frequency gravitational-wave astronomy can perform precision tests of general relativity and probe fundamental physics in a regime previously inaccessible. A space-based detector will be a formidable tool to explore gravity's role in…

Many long-range modifications of the Newtonian/Einsteinian standard laws of gravity have been proposed in the recent past to explain various celestial phenomena occurring at different scales ranging from solar system to the entire universe.…

General Relativity and Quantum Cosmology · Physics 2009-08-03 Lorenzo Iorio

The geodetic and frame-dragging effects are the direct consequences of the spacetime curvature near Earth which can be probed from the Gravity probe B (GP-B) satellite. The satellite result matches quite well with Einstein's general…

High Energy Physics - Phenomenology · Physics 2022-11-23 Tanmay Kumar Poddar

We describe a post-Minkowskii approximation of general relativity as a power series expansion in G, Newton's gravitational constant. Material sources are hidden behind boundaries, and only the vacuum Einstein equations are considered. An…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler , Lee H. Brown

The time delay effect for planets and spacecraft is obtained from a fully relativistic modified gravity theory including a fifth force skew symmetric field by fitting to the Pioneer 10/11 anomalous acceleration data. A possible detection of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. W. Moffat

As known from Einstein's theory of general relativity, the propagation of light in the presence of a massive object is affected by gravity. In this work, we discuss whether the effect of gravitational light bending can be observed in…

General Relativity and Quantum Cosmology · Physics 2020-07-13 Sebastian Ulbricht , Johannes Dickmann , Robert A. Müller , Stefanie Kroker , Andrey Surzhykov

General relativity may be an effective theory with higher curvature correction terms in the action. Inclusion of these terms leads to exciting new possibilities, e.g., gravitational and electromagnetic perturbations following different…

General Relativity and Quantum Cosmology · Physics 2019-11-12 Avirup Ghosh , Soumya Jana , Akash K Mishra , Sudipta Sarkar

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

Future space-based tests of relativistic gravitation-laser ranging to Phobos, accelerometers in orbit, and optical networks surrounding Earth-will constrain the theory of gravity with unprecedented precision by testing the inverse-square…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-28 Jeremy Sakstein

The recent LIGO observation sparked interest in the field of gravity wave signals. Besides the gravity wave observation the LIGO collaboration used the inspiraling black hole pair to constrain the graviton mass. Unlike general relativity,…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-19 Jaakko Vainio , Iiro Vilja

General relativity has predicted the existence of gravitational waves (GW), which are waves of the distortions of space-time with two degrees of polarization and the propagation speed of light. Alternative theories predict more…

High Energy Astrophysical Phenomena · Physics 2015-05-28 K. J. Lee

Within the theory of General Relativity, we study the solution and range of applicability of the standard geodesic deviation equation in highly symmetric spacetimes. In the Schwarzschild spacetime, the solution is used to model satellite…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Dennis Philipp , Dirk Puetzfeld , Claus Laemmerzahl

Solar System tests give nowadays constraints on the estimated value of the cosmological constant, which can be accurately derived from different experiments regarding gravitational redshift, light deflection, gravitational time-delay and…

Astrophysics · Physics 2008-11-26 Gianluca Allemandi , Matteo Luca Ruggiero

IAU 2000 resolutions on the reference frames set up a solid theoretical foundation for implementing general relativity in astronomical data processing algorithms and for unambiguous interpretation of measured relativistic effects. We…

Instrumentation and Methods for Astrophysics · Physics 2010-12-07 Sergei Kopeikin

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

In this paper we investigate a Yukawa gravity modification of the Newtonian gravitational potential in a weak field approximation. For that purpose we derived the corresponding equations of motion and used them to perform two-body…

Astrophysics of Galaxies · Physics 2023-05-05 P. Jovanović , V. Borka Jovanović , D. Borka , A. F. Zakharov

The discovery of the accelerated expansion of the universe highlighted General Relativity's inability to naturally account for dark energy without invoking a finely tuned cosmological constant. In response, a wide range of alternative…

General Relativity and Quantum Cosmology · Physics 2025-11-11 P. A. G. Monteiro , C. J. A. P. Martins

Location dependence of physical parameters such as the electromagnetic fine structure constant and Newton's G produce body accelerations which violate universality of free fall rates testable with laboratory and space experiments.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Kenneth Nordtvedt

We present analytic solutions of Maxwell equations in the internal and external background spacetime of a slowly rotating magnetized neutron star. The star is considered isolated and in vacuum, with a dipolar magnetic field not aligned with…

Astrophysics · Physics 2009-10-31 L. Rezzolla , B. J. Ahmedov , J. C. Miller

In the global positioning system (GPS) satellites, the earth-centered, earth-fixed (ECEF) reference frame is used for calculations. In the application of the theory of special relativity to GPS satellites, one must use the ECEF reference…

General Physics · Physics 2009-10-23 Masanori Sato