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We propose a new definition for the mass and angular momentum of neutral or electrically charged black holes in 2+1 gravity with two Killing vectors. These finite conserved quantities, associated with the SL(2,R) invariance of the reduced…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gerard Clement

Gravitational-wave (GW) memory effects produce permanent shifts in the GW strain and its time integrals after the passage of a burst of GWs. Their presence is closely tied to symmetries of asymptotically flat spacetimes and fluxes of…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Shammi Tahura , David A. Nichols , Kent Yagi

Gravitational wave memory is an important prediction of general relativity. The detection of the gravitational wave memory can be used to test general relativity and to deduce the property of the gravitational wave source. Quantitative…

General Relativity and Quantum Cosmology · Physics 2023-02-07 Xiaolin Liu , Xiaokai He , Zhoujian Cao

Impulsive gravitational plane waves, which have a delta-function singularity on a hypersurface, can be obtained by squeezing smooth plane gravitational waves with Gaussian profile. They exhibit (as do their smooth counterparts) the Velocity…

General Relativity and Quantum Cosmology · Physics 2018-03-14 P. -M. Zhang , C. Duval , P. A. Horvathy

We analyze the motion of test particles in the spacetime of the plane-fronted (pp) waves with torsion in four-dimensions. We conclude that there is a velocity memory effect in the direction of advanced time and along radial direction, while…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Branislav Cvetković , Dejan Simić

It is well known that two types of gravitational wave memory exist in general relativity (GR): the linear memory and the non-linear, or Christodoulou memory. These effects, especially the latter, depend on the specific form of Einstein…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Song Ming Du , Atsushi Nishizawa

A four-dimensional asymptotic expansion scheme is used to study the next order effects of the nonlinearity near a spinning dynamical black hole. The angular momentum flux and energy flux formula are then obtained by asymptotic expansion and…

General Relativity and Quantum Cosmology · Physics 2013-10-08 Chih-Hung Wang , Yu-Huei Wu

Recently it was shown that the conserved charges of asymptotically anti de Sitter spacetimes can be written in an explicitly gauge-invariant way in terms of the linearized Riemann tensor and the Killing vectors. Here we employ this…

High Energy Physics - Theory · Physics 2020-05-06 Emel Altas

We compute the angular momentum flux from a non-circular nonspinning binary system of compact objects in massless scalar-tensor theories up to one and a half post-Newtonian (1.5PN) order using multipole moments. The angular momentum flux in…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Tamanna Jain , Piero Rettegno

The gravitational memory effect and its electromagnetic (EM) analog are potential probes in the strong gravity regime. In the literature, this effect is derived for static observers at asymptotic infinity. While this is a physically…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Susmita Jana , S. Shankaranarayanan

In this study, we investigate the role of the non-linear memory effect in gravitational wave (GW) parameter estimation, particularly we explore its capability to break the degeneracy between luminosity distance and inclination angle in…

We show that spinors propagating in curved gravitational background acquire an interaction with spacetime curvature, which leads to a quantum mechanical geometric effect. This is similar to what happens in the case of magnetic fields, known…

General Relativity and Quantum Cosmology · Physics 2021-11-09 Banibrata Mukhopadhyay , Tanuman Ghosh , Soumya Kanti Ganguly

We prove the existence of instabilities for the geometric linear wave equation on extremal Kerr spacetime backgrounds, which describe stationary black holes rotating at their maximally allowed angular velocity. These instabilities can be…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Dejan Gajic

The gravitational waves and energy radiations from a spinning compact object with stellar mass in a circular orbit in the equatorial plane of a supermassive Kerr black hole are investigated in this paper. The effect how the spin acts on…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Wen-Biao Han

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

Gravitational wave bursts produced by supermassive binary black hole mergers will leave a persistent imprint on the space-time metric. Such gravitational wave memory signals are detectable by pulsar timing arrays as a glitch event that…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Jingbo Wang , G. Hobbs , Na Wang

We analyze the impact of the leading quantum gravity effects on the properties of black holes with nonzero angular momentum by performing a suitable renormalization group improvement of the classical Kerr metric within Quantum Einstein…

High Energy Physics - Theory · Physics 2011-03-23 M. Reuter , E. Tuiran

We study the impact of gravitational wave memory on the distribution of far away light sources in the sky. For the first time we compute the built up of small, but permanent tensor distortions of the metric over cosmological time-scales…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-05 Tore Boybeyi , Vuk Mandic , Alexandros Papageorgiou

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

We prove that for spacetimes solving the Einstein-Maxwell (EM) equations, the electromagnetic field contributes at highest order to the nonlinear memory effect of gravitational waves. In [5] D. Christodoulou showed that gravitational waves…

Differential Geometry · Mathematics 2010-12-15 Lydia Bieri , PoNing Chen , Shing-Tung Yau
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