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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

A detailed description of how black holes grow in full, non-linear general relativity is presented. The starting point is the notion of dynamical horizons. Expressions of fluxes of energy and angular momentum carried by gravitational waves…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Abhay Ashtekar , Badri Krishnan

This paper presents a quasi-local method of studying the physics of dynamical black holes in numerical simulations. This is done within the dynamical horizon framework, which extends the earlier work on isolated horizons to time-dependent…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Erik Schnetter , Badri Krishnan , Florian Beyer

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

Instead of using a three dimensional analysis on quasi-local horizons, we adopt a four dimensional asymptotic expansion analysis to study the next order contributions from the nonlinearity of general relativity. From the similarity between…

General Relativity and Quantum Cosmology · Physics 2009-10-02 Yu-Huei Wu , Chih-Hung Wang

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

Horizon fluxes of energy and angular momentum are a key strong-field effect in the dynamics of black holes, encoding direct information about their nature. In this work, we present a numerical study of these fluxes for a test particle…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Rossella Gamba , Danilo Chiaramello , Estuti Shukla , Simone Albanesi

From the 'quasi-local' definition of horizons, e.g. isolated horizon and dynamical horizon, the consequence quasi-local energy-momentum near horizons can be observed by using the idea of frame alignment. In particular, we find the horizon…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Yu-Huei Wu

We determine the binding energy, the total gravitational wave energy flux, and the gravitational wave modes for a binary of rapidly spinning black holes, working in linearized gravity and at leading orders in the orbital velocity, but to…

General Relativity and Quantum Cosmology · Physics 2018-06-22 Nils Siemonsen , Jan Steinhoff , Justin Vines

We extend our research on the energy flux and waveform characteristics of gravitational waves generated by merging nonspinning binary black holes through self-consistent effective one-body theory \cite{L2023} to include binary systems with…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Weike Deng , Sheng Long , Jiliang Jing

We consider a simple physical model for an evolving horizon that is strongly interacting with its environment, exchanging arbitrarily large quantities of matter with its environment in the form of both infalling material and outgoing…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alex B. Nielsen , Matt Visser

The capture of compact bodies by black holes in galactic nuclei is an important prospective source for low frequency gravitational wave detectors, such as the planned Laser Interferometer Space Antenna. This paper calculates, using a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jonathan R Gair , Daniel J Kennefick , Shane L Larson

We present a new computation of the asymptotic gravitational wave energy fluxes emitted by a {\it spinning} particle in circular equatorial orbits about a Kerr black hole. The particle dynamics is computed in the pole-dipole approximation,…

General Relativity and Quantum Cosmology · Physics 2019-08-08 Enno Harms , Georgios Lukes-Gerakopoulos , Sebastiano Bernuzzi , Alessandro Nagar

Among all the different techniques to derive the Hawking effect, the approach based on gravitational anomaly by Robinson and Wilczek provides a simple and satisfactory origin of the black hole radiation. In this picture, the effective near…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Selim Sk , Sudipta Sarkar

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

We study electromagnetic radiation reaction on a charged particle around a weakly magnetized Kerr black hole. We solve numerically the Teukolsky equation to find energy fluxes in electromagnetic radiation at the horizon and at spatial…

General Relativity and Quantum Cosmology · Physics 2024-12-18 João S. Santos , Vítor Cardoso , José Natário

An effective energy tensor for gravitational radiation is identified for uniformly expanding flows of the Hawking mass-energy. It appears in an energy conservation law expressing the change in mass due to the energy densities of matter and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Sean A. Hayward

We compute the energy flux of the gravitational waves radiated by a particle of mass $\m$ in circular orbits around a rotating black hole of mass $M$ up to the 11th post-Newtonian order (11PN), i.e. $v^{22}$ beyond the leading Newtonian…

General Relativity and Quantum Cosmology · Physics 2015-03-27 Ryuichi Fujita

As a black hole in a binary spirals in gradually from large separation, energy and angular momentum flow not only to infinity but also into or out of the hole. In addition, the hole's horizon area increases slowly during this process. In…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Kashif Alvi

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
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