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Observations of astrophysical binaries may reveal departures from pure Keplerian orbits due to environmental influences, modifications to the underlying gravitational dynamics, or signatures of new physics. In this work, we develop a…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Rajes Ghosh , R. Prasad , Kabir Chakravarti , Prayush Kumar

The possibility of measuring the post-Newtonian gravitoelectric correction to the orbital period of a test particle freely orbiting a spherically symmetric mass in the Solar System is analyzed. It should be possible, in principle, to detect…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Lorenzo Iorio

Precision timing of millisecond pulsars in binary systems enables observers to detect the relativistic Shapiro delay induced by space time curvature. When favourably aligned, this enables constraints to be placed on the component masses and…

To estimate influence of the "dark energy" on the Keplerian orbits, we solve the general relativistic equations of motion of a test particle in the field of a point-like mass embedded in the cosmological background formed by the Lambda-term…

General Relativity and Quantum Cosmology · Physics 2017-04-18 Yurii V. Dumin

Following a summary of the basic principles of pulsar timing, we present a review of recent results from timing observations of relativistic binary pulsars. In particular, we summarize the status of timing observations of the much…

Astrophysics · Physics 2009-10-31 V. M. Kaspi

Dark matter influence globally galactic Keplerian motions and individually, by microlensing, star's acromatic luminosities. Moreover gravity slows down time as probed by gravitational redshift. Therefore pulsar's (PSR's) periods may record,…

Astrophysics · Physics 2007-05-23 Daniele Fargion , Roberto Conversano

We consider a coplanar system comprised of a massive central body (a star), a less massive secondary (a planet) on a circular orbit, and a test particle on a bound orbit exterior to that of the secondary. The gravitational pull exerted on…

Earth and Planetary Astrophysics · Physics 2012-08-13 Kei Yamada , Hideki Asada

We analyze the effect of weak field gravitational waves on the timing of pulsars, with particular attention to gauge invariance, that is, to the effects that are independent of the choice of coordinates. We find: (i) the Doppler shift…

Astrophysics · Physics 2014-11-18 Teviet Creighton , Fredrick A. Jenet , Richard H. Price

During the motion of a binary pulsar around the Galactic center, the pulsar and its companion experience a wind of dark-matter particles that can affect the orbital motion through dynamical friction. We show that this effect produces a…

High Energy Astrophysical Phenomena · Physics 2015-12-31 Paolo Pani

We study the motion of test particles in the metric of a localized and slowly rotating astronomical source, within the framework of linear gravitoelectromagnetism, grounded on a Post-Minkowskian approximation of general relativity. Special…

General Relativity and Quantum Cosmology · Physics 2015-10-14 Donato Bini , Lorenzo Iorio , Domenico Giordano

Using a relatively simple method, I compute the v/c correction to the gravitational time delay for light passing by a massive object moving with speed v. It turns out that the v/c effects are too small to have been measured in the recent…

Astrophysics · Physics 2014-10-13 Stuart Samuel

Cosmological observations over past couple of decades favor our universe with a tiny positive cosmological constant. Presence of cosmological constant not only imposes theoretical challenges in gravitational wave physics, it has also…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Sk Jahanur Hoque , Ankit Aggarwal

We investigate two general relativistic effects - namely, the Shirokov and Shapiro effects - within the framework of the Zipoy-Voorhees spacetime ($q$-metric), which generalizes the Schwarzschild solution by incorporating a quadrupole…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Daniya Utepova , Kuantay Boshkayev , Serzhan Momynov , Anuar Idrissov , Gulzada Baimbetova , Hernando Quevedo , Ainur Urazalina

General relativity predicts that two counter-orbiting clocks around a spinning mass differ in the time required to complete the same orbit. The difference in these two values for the orbital period is generally referred to as the…

General Relativity and Quantum Cosmology · Physics 2024-03-26 Kaye Jiale Li , Kinwah Wu , Ziri Younsi , Joana Teixeira , Dinesh Singh

We present a new timing solution for PSR B1534+12, based on coherently-dedispersed observations at Jodrell Bank and, recently, Arecibo. The new data have resulted in improved measurements of the post-Keplerian timing parameters, including…

Astrophysics · Physics 2007-05-23 I. H. Stairs , D. J. Nice , S. E. Thorsett , J. H. Taylor

Binary pulsars provide an excellent system for testing general relativity because of their intrinsic rotational stability and the precision with which radio observations can be used to determine their orbital dynamics. Measurements of the…

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

In this work we study the gravitational radiation produced by a keplerian binary system within the context of Very Special Linear Gravity (VSLG), a novel theory of linearized gravity in the framework of Very Special Relativity (VSR)…

General Relativity and Quantum Cosmology · Physics 2024-05-03 Alessandro Santoni , Jorge Alfaro , Alex Soto

The recent gravitational wave observations provide insight into the extreme gravity regime of coalescing binaries, where gravity is strong, dynamical and non-linear. The interpretation of these observations relies on the comparison of the…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Alexander Saffer , Nicolas Yunes

Gravitational physics of VLBI experiment conducted on September 8, 2002 and dedicated to measure the speed of gravity (a fundamental constant in the Einstein equations) is treated in the first post-Newtonian approximation. Explicit…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin