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According to current theory a black hole has a nonzero temperature and thus radiates like any black body. This remarkable result was first shown by Hawking for a non-spinning black hole using general relativity to describe the black hole…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Ronald J. Adler

The No Hair theorem in classical general relativity predicts that rotating black holes are specified by the Kerr metric, which is uniquely identified by the mass and spin. However, as a pioneering study beyond general relativity, the…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Zhen Li

We present a study of the gravitational waveforms from a series of spinning, equal-mass black hole binaries focusing on the harmonic content of the waves and the contribution of the individual harmonics to the signal-to-noise ratio. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Deirdre Shoemaker , Birjoo Vaishnav , Ian Hinder , Frank Herrmann

We present a new initial data formulation to solve the full set of Einstein equations for spacetimes that contain a black hole under general conditions. The method can be used to construct complete initial data for spacetimes (the full…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Antonios Tsokaros , Kōji Uryū , Stuart L. Shapiro

A Regge--Wheeler analysis is performed for a novel black hole mimicker `the regular black hole with asymptotically Minkowski core', followed by an approximation of the permitted quasi-normal modes for propagating waveforms. A first-order…

General Relativity and Quantum Cosmology · Physics 2021-10-06 Alex Simpson

The Brown-York quasi-local energy of a rotating black hole described by the Kerr metric and enclosed by a fixed-radius surface is calculated by direct computation. No special assumptions on the angular momentum or the radial coordinate in…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Bjoern S. Schmekel

We present an alternative approach to setting initial data in general relativity. We do not use a conformal decomposition, but instead express the 3-metric in terms of a given unit vector field and one unknown scalar field. In the case of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Nigel T. Bishop , Florian Beyer , Michael Koppitz

We explore whether a new method to solve the constraints of Einstein's equations, which does not involve elliptic equations, can be applied to provide initial data for black holes. We show that this method can be successfully applied to a…

General Relativity and Quantum Cosmology · Physics 2015-06-08 István Rácz , Jeffrey Winicour

The radiation of vector particles by black holes in (1+2) dimensions is investigated within the WKB approximation. We consider the process of quantum tunnelling of bosons through an event horizon of the black hole. The emission temperature…

General Physics · Physics 2014-12-01 S. I. Kruglov

We propose a new radial coordinate to write the Kerr metric in puncture form. Unlike the quasi-radial coordinate introduced previously, the horizon radius remains finite in our radial coordinate in the extreme Kerr limit a/M -> 1. This…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Yuk Tung Liu , Zachariah B. Etienne , Stuart L. Shapiro

We prove the existence of a family of initial data for the Einstein vacuum equation which can be interpreted as the data for two Kerr-like black holes in arbitrary location and with spin in arbitrary direction. This family of initial data…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sergio Dain

This paper reviews the basic features of the theory of curvature perturbations in Kerr spacetime, which is customarily written in terms of gauge invariant components of the Weyl tensor which satisfy a perturbation equation known as the…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Ramon Lopez-Aleman

In this paper we consider the collision of spinning holes using first order perturbation theory of black holes (Teukolsky formalism). With these results (along with ones, we published in the past) one can predict the properties of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gaurav Khanna

Charged, rotating Kerr-Newman black holes represent the most general class of asymptotically flat black hole solutions to the Einstein-Maxwell equations of general relativity. Here, we consider a simplified model for the Hawking radiation…

General Relativity and Quantum Cosmology · Physics 2021-01-15 Joshua Foo , Michael R. R. Good

Numerical simulations of binary black holes are accompanied by an initial spurious burst of gravitational radiation (called `junk radiation') caused by a failure of the initial data to describe a snapshot of an inspiral that started at an…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Sizheng Ma , Matthew Giesler , Mark Scheel , Vijay Varma

Binary black hole simulations starting from quasi-circular (i.e., zero radial velocity) initial data have orbits with small but non-zero orbital eccentricities. In this paper the quasi-equilibrium initial-data method is extended to allow…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Harald P. Pfeiffer , Duncan A. Brown , Lawrence E. Kidder , Lee Lindblom , Geoffrey Lovelace , Mark A. Scheel

The most popular method to construct initial data for black-hole-binary simulations is the puncture method, in which compactified wormholes are given linear and angular momentum via the Bowen-York extrinsic curvature. When these data are…

General Relativity and Quantum Cosmology · Physics 2009-12-14 Mark Hannam , Sascha Husa , Niall Ó Murchadha

We present a semi-analytical approach to the interaction of two (originally) Kerr black holes through a head-on collision process. An expression for the rate of emission of gravitational radiation is derived from an exact solution to the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Marcelo E. Araujo , Patricio S. Letelier , Samuel R. Oliveira

Here we are interested to study the spin-1 particle i.e., electro-magnetic wave in curved space-time, say around black hole. After separating the equations into radial and angular parts, writing them according to the black hole geometry,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Banibrata Mukhopadhyay

We construct initial data suitable for the Kerr stability conjecture, that is, solutions to the constraint equations on a spacelike hypersurface with boundary entering the black hole horizon that are arbitrarily decaying perturbations of a…

Analysis of PDEs · Mathematics 2025-07-24 Allen Juntao Fang , Jérémie Szeftel , Arthur Touati