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We study the displacement memory effect and its connection with the extended-BMS symmetries near the horizon of black holes. We show there is a permanent shift in the geodesic deviation vector relating two nearby timelike geodesics placed…

General Relativity and Quantum Cosmology · Physics 2021-03-16 Srijit Bhattacharjee , Shailesh Kumar , Arpan Bhattacharyya

General relativity explains gravitational radiation from binary black hole or neutron star mergers, from core-collapse supernovae and even from the inflation period in cosmology. These waves exhibit a unique effect called memory or…

General Relativity and Quantum Cosmology · Physics 2015-05-21 Lydia Bieri , David Garfinkle , Shing-Tung Yau

Gravitational wave memory is an important prediction of general relativity, which has not been detected yet. Amounts of memory events can form a stochastic gravitational wave memory background. Here we find that memory background can be…

General Relativity and Quantum Cosmology · Physics 2022-12-12 Zhi-Chao Zhao , Zhoujian Cao

The nonlinear memory effect is a slowly-growing, non-oscillatory contribution to the gravitational-wave amplitude. It originates from gravitational waves that are sourced by the previously emitted waves. In an ideal gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2010-05-27 Marc Favata

We consider collision of two particles near the horizon of a nonextremal static black hole. At least one of them is accelerated. We show that the energy $E_{c.m.}$ in the center of mass can become unbounded in spite of the fact that a black…

General Relativity and Quantum Cosmology · Physics 2020-04-29 O. B. Zaslavskii

Binary black hole (BBH) systems are usually located in the gravitational potential well formed by a massive black hole (BH), which is mostly located in the center of a galaxy. In most existing studies, the BBH systems are treated as…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Zhoujian Cao , Jui-Ping Yu , Chun-Yu Lin , Shan Bai , Hwei-Jang Yo

Displacement memory, induced by a wave pulse in a regular black hole spacetime, is studied using geodesic (timelike) separation and geodesic deviation. The presence of the wave pulse in such a black hole is modeled via a function $H(u)$…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Ritwik Acharyya , Sayan Kar

Gravitational wave memory is a nonoscillatory correction to the gravitational wave strain predicted by general relativity, which has yet to be detected. Within general relativity, its dominant component, known as the null memory, can be…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Lavinia Heisenberg , Nicolás Yunes , Jann Zosso

Since black holes can only accrete sub-Keplerian matter, a companion black hole orbiting on a circular and instantaneously Keplerian orbit around a central, massive black hole in a galactic Centre will loss angular momentum and energy to…

Astrophysics · Physics 2007-05-23 Sandip K. Chakrabarti

Recently, Hawking, Perry and Strominger described a physical process that implants supertranslational hair on a Schwarzschild black hole by an infalling matter shock wave without spherical symmetry. Using the BMS-type symmetries of the…

High Energy Physics - Theory · Physics 2017-09-22 Sanved Kolekar , Jorma Louko

We wish to study an application of Stueckelberg's relativistic quantum theory in the framework of general relativity. We study the form of the wave equation of a massive body in the presence of a Schwarzschild gravitational field. We treat…

General Relativity and Quantum Cosmology · Physics 2015-05-19 D. M. Ludwin , L. P. Horwitz

The Minkowski background intrinsic to the Kerr-Schild version of the Kerr metric provides a definition of a boosted spinning black hole. There are two Kerr-Schild versions corresponding to ingoing or outgoing principal null directions. The…

General Relativity and Quantum Cosmology · Physics 2019-04-15 Thomas Mädler , Jeffrey Winicour

The non-linearity of the theory of gravity induces a hysteresis effect in both the systems interacting with gravity and in the gravitational field. The effect is usually referred to as the memory effect. In this paper, we explore this…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Raihaneh Moti , Ali Shojai

By reexamination of the boundary conditions of wave equation on a black hole horizon it is found not harmonic, but real-valued exponentially time-dependent solutions. This means that quantum particles probably do not cross the Schwarzschild…

General Physics · Physics 2018-05-10 Merab Gogberashvili , Lasha Pantskhava

We investigate a new mechanism to create large curvature perturbations on small scales due to parameter resonance in a single-field inflationary model with a small periodic structure upon the potential. After reentering the horizon, the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-17 Rong-Gen Cai , Zong-Kuan Guo , Jing Liu , Lang Liu , Xing-Yu Yang

We investigate the stochastic gravitational wave background produced by primordial black hole binaries during their early inspiral stage while accreting high-density radiation surrounding them in the early universe. We first show that the…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-20 Arnab Sarkar , K. Rajesh Nayak , A. S. Majumdar

The excitation of a black hole by infalling matter or radiation has been studied for a long time, mostly in linear perturbation theory. In this paper we study numerically the response of a Schwarzschild black hole to an incoming…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Jörg Frauendiener , Chris Stevens

In this article, we compare in detail the linear and nonlinear approach to the Gravitational Waves Displacement and Velocity Memory (GWDM and GWVM) effects. We consider astrophysical situations that give rise to gravitational waves with…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Lydia Bieri , Alexander Polnarev

We investigate the distribution of gravitational energy on the spacetime of a Schwarzschild black hole immersed in a cosmic magnetic field. This is done in the context of the {\it Teleparallel Equivalent of General Relativity}, which is an…

General Relativity and Quantum Cosmology · Physics 2012-11-06 K. H. C. Castello-Branco , J. F. da Rocha-Neto

We revisit the dynamics of a black hole accreting energy from a surrounding homogeneous and infinite space. We argue for a simple heuristic modification of the Schwarzschild approximation when the density of the medium is not negligible…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Aurélien Barrau , Killian Martineau , Hanane Zelgoum