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Higher-order theories of gravity are a branch of modified gravity wherein the geometrodynamics of the four-dimensional Riemannian manifold is determined by field equations involving derivatives of the metric tensor of order higher than two.…

广义相对论与量子宇宙学 · 物理学 2024-04-19 R. R. Cuzinatto , L. G. Medeiros

This paper discusses experimental design for the Laser Astrometric Test Of Relativity (LATOR) mission. LATOR is designed to reach unprecedented accuracy of 1 part in 10^8 in measuring the curvature of the solar gravitational field as given…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Slava G. Turyshev , Michael Shao , Kenneth L. Nordtvedt

The post-Newtonian and post-Minkowskian solutions for the motion of binary mass systems in gravity can be derived in terms of momentum expansions within effective field theory approaches. In the post-Minkowskian approach the expansion is…

广义相对论与量子宇宙学 · 物理学 2019-11-12 J. Blümlein , A. Maier , P. Marquard , G. Schäfer , C. Schneider

In this paper, we use the metric coefficients and the equation of motion in the 2nd post-Newtonian approximation in scalar-tensor theory including intermediate range gravity to derive the deflection of light and compare it with previous…

天体物理学 · 物理学 2009-11-13 Peng Dong , Wei-Tou Ni

Of all the solar fundamental parameters (mass, diameter, gravity at the surface,...), the gravitational moments have been quite often ignored in the past, mainly due to the great difficulty to get a reliable estimate. Even though the order…

太阳与恒星天体物理 · 物理学 2022-08-16 Jean-Pierre Rozelot , Ali Kilcik , Zahra Fazel

In this investigation the light propagation in the gravitational field of one arbitrarily moving body with monopole structure is considered in the second post-Newtonian approximation. It is found that the light trajectory depends on the…

广义相对论与量子宇宙学 · 物理学 2018-02-09 Sven Zschocke

Working within the post-Minkowskian approach to General Relativity, we prove that the radiation-reaction to the emission of gravitational waves during the large-impact-parameter scattering of two (classical) point masses modifies the…

广义相对论与量子宇宙学 · 物理学 2020-12-09 Thibault Damour

Higher-order theories of gravity are extensions to general relativity (GR) motivated mainly by high-energy physics searching for GR ultraviolet completeness. They are characterized by the inclusion of correction terms in the…

宇宙学与河外天体物理 · 物理学 2023-11-14 G. Rodrigues-da-Silva , L. G. Medeiros

High-precision astrometry on sub-micro-arcsecond level in angular resolution requires accurate determination of the trajectory of a light-signal from the celestial light source through the gravitational field of the Solar system toward the…

广义相对论与量子宇宙学 · 物理学 2017-07-25 Sven Zschocke

The extremely high precision of current astronomical observations demands a much better theoretical treatment of relativistic effects in the propagation of electromagnetic signals through variable gravitational fields of isolated…

广义相对论与量子宇宙学 · 物理学 2014-08-19 Sergei Kopeikin , Pavel Korobkov

The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservative case and the radiation-reacted case are considered. We use…

广义相对论与量子宇宙学 · 物理学 2024-09-02 Donato Bini , Thibault Damour , Andrea Geralico

Neutron star binaries and their associated gravitational wave signal facilitate precision tests of General Relativity. Any deviation of the detected gravitational waveform from General Relativity would therefore be a smoking gun signature…

广义相对论与量子宇宙学 · 物理学 2024-12-16 Robin Fynn Diedrichs , Daniel Schmitt , Laura Sagunski

The linear-order effects of radiation-reaction on the classical scattering of two point masses, in General Relativity, are derived by a variation-of-constants method. Explicit expressions for the radiation-reaction contributions to the…

广义相对论与量子宇宙学 · 物理学 2021-11-30 Donato Bini , Thibault Damour , Andrea Geralico

Responding to calls from the National Science Foundation (NSF) for new proposals to measure the gravitational constant $G$, we offer an interesting experiment in deep space employing the classic gravity train mechanism. Our setup requires…

广义相对论与量子宇宙学 · 物理学 2016-05-18 Michael R. Feldman , John D. Anderson , Gerald Schubert , Virginia Trimble , Sergei Kopeikin , Claus Lämmerzahl

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…

天体物理学 · 物理学 2008-11-26 Gianluca Allemandi , Matteo Luca Ruggiero

The post-Newtonian expansion appears to be a relevant tool for predicting the gravitational waveforms generated by some astrophysical systems such as binaries. In particular, inspiralling compact binaries are well-modelled by a system of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Luc Blanchet

We compute to high post-Newtonian accuracy the 4-momentum (linear momentum, and energy), radiated as gravitational waves in a two-body system undergoing gravitational scattering. We include, for the first time, all the relevant {\it…

广义相对论与量子宇宙学 · 物理学 2023-01-25 Donato Bini , Thibault Damour , Andrea Geralico

We suggest the modified gravity where some arbitrary function of Gauss-Bonnet (GB) term is added to Einstein action as gravitational dark energy. It is shown that such theory may pass solar system tests. It is demonstrated that modified GB…

高能物理 - 理论 · 物理学 2010-04-06 Shin'ichi Nojiri , Sergei D. Odintsov

Extending a method developed by Sasaki in the Schwarzschild case and by Shibata, Sasaki, Tagoshi, and Tanaka in the Kerr case, we calculate the post-Newtonian expansion of the gravitational wave luminosities from a test particle in circular…

广义相对论与量子宇宙学 · 物理学 2009-10-09 Hideyuki Tagoshi , Masaru Shibata , Takahiro Tanaka , Misao Sasaki

The frequency-domain waveform emitted by a two-body scattering process is computed in the extreme-mass-ratio limit through the fifth post-Minkowskian (PM) order (i.e., $O(G^5)$) and the fractional sixth post-Newtonian (PN) order. The…

广义相对论与量子宇宙学 · 物理学 2026-03-13 Andrea Geralico