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The equations which determine the response of a spinning charged particle moving in a uniform magnetic field to an incident gravitational wave are derived in the linearized approximation to general relativity. We verify that 1) the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 D. B. Papadopoulos

Accurate parameter estimation of gravitational waves from coalescing compact binary sources is a key requirement for gravitational-wave astronomy. Evaluating the posterior probability density function of the binary's parameters (component…

High Energy Astrophysical Phenomena · Physics 2015-06-12 R. J. E. Smith , K. Cannon , C. Hanna , D. Keppel , I. Mandel

Electromagnetic field produced by magnetic multipoles in hyperbolic motion is derived and compared with electromagnetic field produced by electric multipoles in hyperbolic motion. The resulting fields are related by duality symmetry.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. Pravda , A. Pravdova

Gravitational memory, a residual change, arises after a finite gravitational wave pulse interacts with free masses. We calculate the memory effect in massive gravity as a function of the graviton mass $(m_g)$ and show that it is discretely…

General Relativity and Quantum Cosmology · Physics 2019-02-07 Ercan Kilicarslan , Bayram Tekin

The back reaction of gravitational perturbations in a homogeneous background is determined by an effective energy-momentum tensor quadratic in the perturbations. We show that this nonlinear feedback effect is important in the case of long…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. R. Abramo , R. H. Brandenberger , V. M. Mukhanov

We report an analytical example of the gravitational wave memory effect in exact plane wave spacetimes. A square pulse profile is chosen which gives rise to a curved wave region sandwiched between two flat Minkowski spacetimes. Working in…

General Relativity and Quantum Cosmology · Physics 2022-04-05 Indranil Chakraborty , Sayan Kar

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-wave memory refers to the permanent displacement of the test masses in an idealized (freely-falling) gravitational-wave interferometer. Inspiraling binaries produce a particularly interesting form of memory--the Christodoulou…

Astrophysics · Physics 2014-11-18 Marc Favata

We present a perturbative treatment of gravitational wave memory. The coordinate invariance of Einstein's equations leads to a type of gauge invariance in perturbation theory. As with any gauge invariant theory, results are more clear when…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Lydia Bieri , David Garfinkle

Gravitational radiation is locally defined where the wavefronts are roughly spherical. A local energy tensor is defined for the gravitational radiation. Including this energy tensor as a source in the truncated Einstein equations describes…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean A. Hayward

The memory effect of test particles interacting with pp-wave Gaussian pulses is investigated for polarization modes beyond the standard quadrupolar $+$ and $\times$ states. Massive geodesic equations are solved numerically for several…

General Relativity and Quantum Cosmology · Physics 2026-03-31 F. L. Carneiro , H. P. de Carvalho , M. P. Lobo , L. A. Cabral

We derive two new retarded solutions in the teleparallel theory equivalent to general relativity (TEGR). One of these solutions gives a divergent energy. Therefore, we used the regularized expression of the gravitational energy-momentum…

General Relativity and Quantum Cosmology · Physics 2011-04-21 G. G. L. Nashed

In the quadrupole approximation of General Relativity in the weak-field limit, a time-varying quadrupole moment generates gravitational radiation. Binary orbits are one of the main mechanisms for producing gravitational waves and are the…

General Relativity and Quantum Cosmology · Physics 2019-09-11 A. Miguel Holgado , Paul M. Ricker

The memory effect in gravitational wave (GW) signals is the phenomenon, wherein the relative position of two inertial GW detectors undergoes a permanent displacement owing to the passage of GWs through them. Measurement of the memory signal…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Arpan Hait , Subhendra Mohanty , Suraj Prakash

We show how gravitational actions, in particular the Einstein-Hilbert action, can be obtained from additional terms in Yang-Mills matrix models. This is consistent with recent results on induced gravitational actions in these matrix models,…

High Energy Physics - Theory · Physics 2014-11-20 Daniel N. Blaschke , Harold Steinacker

The asymptotic form of the Bel-Robinson tensor in the gravitational radiation-zone is obtained in terms of the mass quadrupole of the source. A comparison is made with the standard formula for the gravitational power emission. The problem…

General Relativity and Quantum Cosmology · Physics 2017-03-17 S. Hacyan

A gravitational wave pulse, while passing through spacetime, brings about a change in the relative separation between free particles. This `memory effect' serves as one of the signatures of gravitational waves. In this paper, we consider…

General Relativity and Quantum Cosmology · Physics 2023-07-13 Sucheta Datta , Sarbari Guha , Deeshani Mitra

We extend the Post-Minkowskian (PM) effective field theory (EFT) approach to incorporate conservative and dissipative radiation-reaction effects in a unified framework. This is achieved by implementing the Schwinger-Keldysh "in-in"…

High Energy Physics - Theory · Physics 2023-02-15 Gregor Kälin , Jakob Neef , Rafael A. Porto

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 use the Effective Field Theory (EFT) framework to compute the mass quadrupole moment, the equation of motion, and the power loss of inspiralling compact binaries at the second order in the Post-Newtonian (PN) approximation. We present…

General Relativity and Quantum Cosmology · Physics 2020-05-06 Adam K. Leibovich , Natália T. Maia , Ira Z. Rothstein , Zixin Yang