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Binary systems of black holes emit gravitational waves as they move through their orbits. While most of the emitted radiation escapes to future null infinity, a small fraction is absorbed by the black holes themselves. This is known as…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Danilo Chiaramello , Rossella Gamba

We show that rotating black holes do not experience any tidal deformation when they are perturbed by a weak and adiabatic gravitational field. The tidal deformability of an object is quantified by the so-called "Love numbers", which…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Horng Sheng Chia

We propose an approximate approach for studying the relativistic regime of stellar tidal disruptions by rotating massive black holes. It combines an exact relativistic description of the hydrodynamical evolution of a test fluid in a fixed…

High Energy Astrophysical Phenomena · Physics 2017-05-26 Emilio Tejeda , Emanuel Gafton , Stephan Rosswog , John C. Miller

We consider tidal encounters between a white dwarf and an intermediate mass black hole. Both weak encounters and those at the threshold of disruption are modeled. The numerical code combines mesh-based hydrodynamics, a spectral method…

General Relativity and Quantum Cosmology · Physics 2013-05-10 Roseanne M. Cheng , Charles R. Evans

We investigate the gravitational energy-momentum distribution in the space-time of two black holes in circular orbit, in the context of the teleparallel equivalent of general relativity. This field configuration is important because…

General Relativity and Quantum Cosmology · Physics 2012-02-01 J. W. Maluf , S. C. Ulhoa , J. F. da Rocha-Neto

In a previous paper, we developed tools for studying the horizon geometry of a Kerr black hole that is tidally distorted by a binary companion using techniques that require large mass ratios but can be applied to any bound orbit and allow…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Stephen O'Sullivan , Scott A. Hughes

We describe the possibility of using LISA's gravitational-wave observations to study, with high precision, the response of a massive central body to the tidal gravitational pull of an orbiting, compact, small-mass object. Motivated by this…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Hua Fang , Geoffrey Lovelace

The tidal deformability of compact objects by a companion has a detectable imprint in the gravitational waves emitted by a binary system. This effect is governed by the so-called tidal Love numbers. For a particular theory of gravity, these…

General Relativity and Quantum Cosmology · Physics 2020-03-25 Vitor Cardoso , Francisco Duque

We point out novel consequences of general relativity involving tidal dynamics of ultrarelativistic relative motion. Specifically, we use the generalized Jacobi equation and its extension to study the force-free dynamics of relativistic…

Astrophysics · Physics 2009-11-10 C. Chicone , B. Mashhoon

We give a surface integral derivation of post-1-Newtonian translational equations of motion for a system of arbitrarily structured bodies, including the coupling to all the bodies' mass and current multipole moments. The derivation requires…

General Relativity and Quantum Cosmology · Physics 2013-10-07 Étienne Racine , Éanna É. Flanagan

A supermassive black hole moving through a field of stars will gravitationally scatter the stars, inducing a backreaction force on the black hole known as dynamical friction. In Newtonian gravity, the axisymmetry of the system about the…

General Relativity and Quantum Cosmology · Physics 2017-03-16 Benjamin Cashen , Adam Aker , Michael Kesden

Seconds-long numerical-relativity simulations for black hole-neutron star mergers are performed for the first time to obtain a self-consistent picture of the merger and post-merger evolution processes. To investigate the case that tidal…

High Energy Astrophysical Phenomena · Physics 2023-04-27 Kota Hayashi , Sho Fujibayashi , Kenta Kiuchi , Koutarou Kyutoku , Yuichiro Sekiguchi , Masaru Shibata

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present work we extend this approach…

High Energy Physics - Theory · Physics 2020-11-11 Clifford Cheung , Mikhail P. Solon

The dynamics of a binary system moving in the background of a black hole is affected by tidal forces. In this work, for the Kerr black hole, we derive the electric and magnetic tidal moments at quadrupole order, where the latter are…

General Relativity and Quantum Cosmology · Physics 2023-04-10 Filippo Camilloni , Gianluca Grignani , Troels Harmark , Roberto Oliveri , Marta Orselli , Daniele Pica

Tidal coupling between members of a compact binary system can have an interesting and important influence on that binary's dynamical inspiral. Tidal coupling also distorts the binary's members, changing them (at lowest order) from spheres…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Stephen O'Sullivan , Scott A. Hughes

We use the extension of the Minimal Geometric Deformation approach, recently developed to investigate the exterior of a self-gravitating system in the Braneworld, to identified a master solution for the deformation undergone by the radial…

General Relativity and Quantum Cosmology · Physics 2016-03-22 J. Ovalle

An important issue in the dynamics of neutron star binaries is whether tidal interaction can cause the individual stars to collapse into black holes during inspiral. To understand this issue better, we study the dynamics of a cluster of…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Kashif Alvi , Yuk Tung Liu

When a self-gravitating body (e.g., a neutron star or black hole) interacts with an external tidal field (e.g., that of a binary companion), the interaction can do work on the body, changing its mass-energy. The details of this "tidal…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Patricia Purdue

A black hole binary approaching merger undergoes changes in its inspiral rate as energy and angular momentum are lost from the orbits into the horizons. This effect strengthens as the black holes come closer. We use numerical relativity…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Samanwaya Mukherjee , Sayak Datta , Sukanta Bose , Khun Sang Phukon

We study the superradiant scattering of gravitational waves by a nearly extremal black hole (dimensionless spin $a=0.99$) by numerically solving the full Einstein field equations, thus including backreaction effects. This allows us to study…

General Relativity and Quantum Cosmology · Physics 2014-03-26 William E. East , Fethi M. Ramazanoğlu , Frans Pretorius