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We consider the effects of the mass of graviton on both the waveform of gravitational waves and the antenna response to gravitational waves. We find the effect on the response function is negligible for small mass. By using the Fisher…

General Relativity and Quantum Cosmology · Physics 2022-11-28 Qing Gao

We show from theoretical considerations, that if the graviton is massive, its mass is constrained to be about $10^{-32}~eV/c^2$. This estimate is consistent with those obtained from experiments, including the recent gravitational wave…

General Relativity and Quantum Cosmology · Physics 2016-10-10 Ahmed Farag Ali , Saurya Das

Since the first detection of gravitational waves, they have been used to investigate various fundamental problems, including the variation of physical constants. Regarding the gravitational constant, previous works focused on the effect of…

General Relativity and Quantum Cosmology · Physics 2023-08-10 Jiachen An , Yadong Xue , Zhoujian Cao , Xiaokai He , Bing Sun

Recently the 'memory effect' has been studied in plane gravitational waves and, in particular, in impulsive plane waves. Based on an analysis of the particle motion (mainly in Baldwin-Jeffery-Rosen coordinates) a 'velocity memory effect' is…

General Relativity and Quantum Cosmology · Physics 2019-05-02 Roland Steinbauer

TThe detection of gravitational waves from merging binary black holes has led to a bound on the mass of a hypothetical massive carrier of the gravitational interaction predicted by some modified gravity theories (a massive graviton, for…

General Relativity and Quantum Cosmology · Physics 2018-08-07 Clifford M. Will

The earlier paper, Inertial Mass, Its Mechanics - What It Is; How It Operates, developed the mechanics of inertial mass. The present paper is for the purpose of equivalently developing gravitation. The behavior of gravitation is well known,…

General Physics · Physics 2007-05-23 Roger Ellman

The gravitational wave memory effect is a prediction of general relativity. The presence of memory effect in gravitational wave signals not only provides the chance to test an important aspect of general relativity, but also represents a…

General Relativity and Quantum Cosmology · Physics 2023-02-17 Shuo Sun , Changfu Shi , Jian-dong Zhang , Jianwei Mei

We examine gravitational wave memory in the case where sources and detector are in an expanding cosmology. For simplicity, we treat the case where the cosmology is de Sitter spacetime, and discuss the possibility of generalizing our results…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Lydia Bieri , David Garfinkle , Shing-Tung Yau

We construct, for the first time, the time-domain gravitational wave strain waveform from the collapse of a strongly gravitating Abelian Higgs cosmic string loop in full general relativity. We show that the strain exhibits a large memory…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Josu C. Aurrekoetxea , Thomas Helfer , Eugene A. Lim

Gravitational shockwaves produce perturbations of field systems. We study classical scalar and electromagnetic fields and gravitational memory effects left after the action on the fields of plane-fronted gravitational shockwaves. The…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Dmitri V. Fursaev

If gravitation is propagated by a massive field, then the velocity of gravitational waves (gravitons) will depend upon their frequency and the effective Newtonian potential will have a Yukawa form. In the case of inspiralling compact…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Clifford M. Will

Besides the transient effect, the passage of a gravitational wave also causes a persistent displacement in the relative position of an interferometer's test masses through the \emph{nonlinear memory effect}. This effect is generated by the…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Silvia Gasparotto , Rodrigo Vicente , Diego Blas , Alexander C. Jenkins , Enrico Barausse

It was suggested that observations of the solar system exclude massive gravity, in the sense that the graviton mass must be rigorously zero. This is because there is a discontinuity in the linearized gravity theory at graviton mass equal to…

Astrophysics · Physics 2009-11-07 Andrei Gruzinov

In Einstein's general relativity, gravity is mediated by a massless metric field. The extension of general relativity to consistently include a mass for the graviton has profound implications for gravitation and cosmology. Salient features…

General Relativity and Quantum Cosmology · Physics 2020-07-24 Lijing Shao , Norbert Wex , Shuang-Yong Zhou

Understanding the interplay between quantum mechanical systems and gravity is a crucial step towards unifying these two fundamental ideas. Recent theoretical developments have explored how global properties of spacetime would cause a…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Flynn Linton , Shubhanshu Tiwari

Particles initially at rest hit by a passing sandwich gravitational wave exhibit, in general, thevelocity memory effect (VM): they fly apart with constant velocity. For specific values of the wave parameters their motion can however become…

General Relativity and Quantum Cosmology · Physics 2025-05-14 P. -M. Zhang , P. A. Horvathy

The conventional gravitational memory effect is a relative displacement in the position of two detectors induced by radiative energy flux. We find a new type of gravitational `spin memory' in which beams on clockwise and counterclockwise…

High Energy Physics - Theory · Physics 2017-02-01 Sabrina Pasterski , Andrew Strominger , Alexander Zhiboedov

It is noticed that the total relative density of mass in the Universe Omega_tot should exceed 1, i.e. Omega_tot=1+f^2/6 according to the field relativistic theory of gravity (RTG), which is free of the cosmological singularity and which…

Astrophysics · Physics 2009-11-07 S. S. Gershtein , A. A. Logunov , M. A. Mestvirishvili

Some astrophysical sources of gravitational waves can produce a "memory effect," which causes a permanent displacement of the test masses in a freely falling gravitational-wave detector. The Christodoulou memory is a particularly…

Solar and Stellar Astrophysics · Physics 2009-04-25 Marc Favata

The modifications induced in the standard weak-lensing formula if Newtonian gravity differs from inverse square law at large distances are studied. The possibility of putting bounds on the mass of gravitons from lensing data is explored. A…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. R. Choudhury , G. C. Joshi , S. Mahajan , B. H. J. McKellar
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