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We bring the Kerr--Newman spacetime into the Bondi--Sachs gauge by means of zero angular momentum, null geodesics. We compute the memory effect produced at the black hole horizon by a transient gravitational shock wave, which from future…

General Relativity and Quantum Cosmology · Physics 2025-04-21 Marco Galoppo , Rudeep Gaur , Christopher Harvey-Hawes

Gravitational waves are predicted by the general theory of relativity. It has been shown that gravitational waves have a nonlinear memory, displacing test masses permanently. This is called the Christodoulou memory. We proved that the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Lydia Bieri , PoNing Chen , Shing-Tung Yau

We compute the (displacement) gravitational wave memory due to a quasicircular inspiral of two black holes using a variety of perturbative techniques. Within post-Newtonian theory, we extend previous results for non-spinning binaries to…

General Relativity and Quantum Cosmology · Physics 2025-10-07 Kevin Cunningham , Chris Kavanagh , Adam Pound , David Trestini , Niels Warburton , Jakob Neef

Gravitational-wave memory is a low-frequency, non-oscillatory component of the radiation field that provides a potentially powerful but as yet undetected probe of strong-field gravity. We present the first calculation of gravitational…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Silvia Gasparotto , Jann Zosso , Llibert Aresté Saló , Daniela D. Doneva , Stoytcho S. Yazadjiev

In this paper, we study the gravitational wave (GW) memory effect for a black hole embedded in a dark matter halo described by a Hernquist-type density profile, both with and without a spike. We first solve the geodesic equations in this…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Soumya Bhattacharya , Chiranjeeb Singha

The non-linear gravitational-wave memory effect is a prediction of general relativity in which test masses are permanently displaced by gravitational radiation. We implement a method for calculating the expected memory waveform from an…

High Energy Astrophysical Phenomena · Physics 2018-09-26 Colm Talbot , Eric Thrane , Paul D. Lasky , Fuhui Lin

We present an introduction to mass and angular momentum in General Relativity. After briefly reviewing energy-momentum for matter fields, first in the flat Minkowski case (Special Relativity) and then in curved spacetimes with or without…

General Relativity and Quantum Cosmology · Physics 2015-05-18 J. L. Jaramillo , E. Gourgoulhon

Gravitational-wave memory is a non-linear effect predicted by general relativity that remains undetected. We apply a Bayesian analysis framework to search for gravitational-wave memory using binary black hole mergers in LIGO-Virgo-KAGRA's…

General Relativity and Quantum Cosmology · Physics 2024-04-19 Shun Yin Cheung , Paul D. Lasky , Eric Thrane

The Christodoulou memory is a nonlinear contribution to the gravitational-wave field that is sourced by the gravitational-wave stress-energy tensor. For quasicircular, inspiralling binaries, the Christodoulou memory produces a growing,…

General Relativity and Quantum Cosmology · Physics 2010-04-23 Marc Favata

Memory effects in the exact Kundt wave spacetimes are shown to arise in the behaviour of geodesics in such spacetimes. The types of Kundt spacetimes we consider here are direct products of the form $H^2\times M(1,1)$ and $S^2\times M(1,1)$.…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Indranil Chakraborty , Sayan Kar

The gravitational wave memory effect is characterized by the permanent relative displacement of a pair of initially comoving test particles that is caused by the passage of a burst of gravitational waves. Recent research on this effect has…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Éanna É. Flanagan , Alexander M. Grant , Abraham I. Harte , David A. Nichols

Quadratic quasinormal modes (QQNMs) and Christodoulou memory effect are key nonlinear phenomena in gravitational wave physics. QQNMs characterize the near zone nonlinear response of a perturbed black hole, whereas the memory effect is a…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Jun-Xi Shi , Zhen-Tao He , Jiageng Jiao , Jing-Qi Lai , Caiying Shao , Yu Tian , Hongbao Zhang

Gravitational memory effect has emerged as a new window and opened up several intriguing avenues in the field of gravitational wave astronomy together with its inter-connection to asymptotic symmetries (AS). The recent developments in this…

General Relativity and Quantum Cosmology · Physics 2022-03-22 Shailesh Kumar

There exist gravitational memory effects in Brans-Dicke theory. They are closely related to the Bondi-Metzner-Sachs symmetries living on the null infinity in an isolated system. By studying the asymptotically flat spacetime in Brans-Dicke…

General Relativity and Quantum Cosmology · Physics 2021-01-25 Shaoqi Hou

In this work, we compute the gravitational wave displacement and spin memory effects in de Sitter spacetime. Gravitational waves in asymptotically flat spacetimes are described by the Bondi-Sachs framework, where radiation at null infinity…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Anthi Voulgari Revof , Shubhanshu Tiwari

This article aims at comparing gravitational wave memory effect in a Schwarzschild spacetime with that of other compact objects with static and spherically symmetric spacetime, with the purpose of proposing a procedure for differentiating…

General Relativity and Quantum Cosmology · Physics 2023-09-12 Soumya Bhattacharya , Shramana Ghosh

It is a long-standing problem in general relativity that the notion of angular momentum of an isolated system has supertranslation ambiguity. In this paper, we argue that the ambiguity is essentially because of the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Pujian Mao , Jun-Bao Wu , Xiaoning Wu

The nonlinear, or null gravitational memory effect for zoom-whirl orbits around fast spinning Kerr black holes for extreme mass ratio systems has a staircase structure. The latter is characterized by a periodic fast increase in the memory…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Lior M. Burko , Gaurav Khanna

The memory effect for Robinson-Trautman waves is explicitly worked out. In a first step, we construct the combined frame rotation and coordinate transformation in which Robinson-Trautman waves are manifestly locally asymptotically flat at…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Glenn Barnich , Ali Seraj

The memory effect is known to introduce a permanent displacement in the gravitational wave (GW) detectors after the passage of a GW signal. While the linear memory adheres to the source properties, the non-linear memory is a secondary…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Samik Dutta , Ankur Chhabra , Aritra Banerjee , Sajal Mukherjee , Subhendra Mohanty