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Related papers: Multipole Moments of Isolated Horizons

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We present a coordinate-independent method for extracting mass (M) and angular momentum (J) of a black hole in numerical simulations. This method, based on the isolated horizon framework, is applicable both at late times when the black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Olaf Dreyer , Badri Krishnan , Eric Schnetter , Deirdre Shoemaker

Using ideas employed in higher dimensional gravity, non-expanding, weakly isolated and isolated horizons are introduced and analyzed in 2+1 dimensions. While the basic definitions can be taken over directly from higher dimensions, their…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abhay Ashtekar , Olaf Dreyer , Jacek Wisniewski

The horizon multipole moments of a Kerr black hole are computed from two distinct definitions that have been proposed in the literature. The first one [Ashtekar et al., Class. Quantum Grav. 21, 2549 (2004)] regards axisymmetric isolated…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Eric Gourgoulhon , Alexandre Le Tiec , Marc Casals

A set of boundary conditions defining a non-rotating isolated horizon are given in Einstein-Maxwell theory. A space-time representing a black hole which itself is in equilibrium but whose exterior contains radiation admits such a horizon .…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Abhay Ashtekar , Christopher Beetle , Stephen Fairhurst

A set of boundary conditions defining an undistorted, non-rotating isolated horizon are specified in general relativity. A space-time representing a black hole which is itself in equilibrium but whose exterior contains radiation admits such…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Abhay Ashtekar , Christopher Beetle , Stephen Fairhurst

In this work, we uncover new features in the evolution of the deformations of the dynamical horizon geometry in a binary black hole merger scenario using numerical relativity. First, in the inspiral phase, owing to the deformations, the…

General Relativity and Quantum Cosmology · Physics 2022-01-21 Vaishak Prasad

Isolated horizons are a quasi-local framework, developed over the last 15 years by many authors, for modeling black holes `in equilibrium' that involves assumptions only about geometric structures intrinsic to the horizon. We review the…

General Relativity and Quantum Cosmology · Physics 2013-02-05 Jonathan Engle , Tomas Liko

Boundary conditions defining a non-rotating isolated horizon are given in Einstein-Maxwell theory. A spacetime representing a black hole which itself is in equilibrium but whose exterior contains radiation admits such a horizon. Inspired by…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Christopher Beetle , Stephen Fairhurst

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

Boundary conditions defining a generic isolated horizon are introduced. They generalize the notion available in the existing literature by allowing the horizon to have distortion and angular momentum. Space-times containing a black hole,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Abhay Ashtekar , Christopher Beetle , Olaf Dreyer , Stephen Fairhurst , Badri Krishnan , Jerzy Lewandowski , Jacek Wisniewski

Over the past three decades, black holes have played an important role in quantum gravity, mathematical physics, numerical relativity and gravitational wave phenomenology. However, conceptual settings and mathematical models used to discuss…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Abhay Ashtekar , Badri Krishnan

We construct the covariantly defined multipole moments on the common horizon of an equal-mass, non-spinning, quasicircular binary-black-hole system. We see a strong correlation between these multipole moments and the gravitational waveform.…

It is well-known that blackhole and cosmological horizons in equilibrium situations are well-modeled by non-expanding horizons (NEHs). In the first part of the paper we introduce multipole moments to characterize their geometry, removing…

General Relativity and Quantum Cosmology · Physics 2022-07-05 Abhay Ashtekar , Neev Khera , Maciej Kolanowski , Jerzy Lewandowski

The portion of the gravitational energy absorbed by the black hole due to the radial infall of a point mass is known to diverge at leading order in perturbation theory. This divergence is an artifact of the point-particle model, where the…

General Relativity and Quantum Cosmology · Physics 2025-12-05 João P. B. Brito , Atsushi Higuchi , Luís C. B. Crispino

We construct a family of non-supersymmetric extremal black holes and their horizonless microstate geometries in four dimensions. The black holes can have finite angular momentum and an arbitrary charge-to-mass ratio, unlike their…

High Energy Physics - Theory · Physics 2021-10-20 Ibrahima Bah , Iosif Bena , Pierre Heidmann , Yixuan Li , Daniel R. Mayerson

We consider static axially symmetric Einstein-Yang-Mills black holes in the isolated horizon formalism. The mass of these hairy black holes is related to the mass of the corresponding particle-like solutions by the horizon mass. The hairy…

General Relativity and Quantum Cosmology · Physics 2009-11-07 B. Kleihaus , J. Kunz , A. Sood , M. Wirschins

Isolated horizon conditions enforce the time invariance of both the intrinsic and the extrinsic geometry of a (quasilocal) black hole horizon. Nonexpanding horizons, only requiring the invariance of the intrinsic geometry, have been…

General Relativity and Quantum Cosmology · Physics 2009-10-29 José Luis Jaramillo

Isolated horizons model equilibrium states of classical black holes. A detailed quantization, starting from a classical phase space restricted to spherically symmetric horizons, exists in the literature and has since been extended to…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Christopher Beetle , Jonathan Engle

A general analysis for characterizing and classifying `isolated horizons' is presented in terms of null tetrads and spin coefficients. The freely specifiable spin coefficients corresponding to isolated horizons are identified and specific…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Date

We investigate static axially symmetric monopole and black hole solutions with magnetic charge n > 1 in Einstein-Yang-Mills-Higgs theory. For vanishing and small Higgs selfcoupling, multimonopole solutions are gravitationally bound. Their…

High Energy Physics - Theory · Physics 2009-11-07 Betti Hartmann , Burkhard Kleihaus , Jutta Kunz
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