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An isolated horizon (IH) is a null hypersurface at which the geometry is held fixed. This generalizes the notion of an event horizon so that the black hole is an object that is in local equilibrium with its (possibly) dynamic environment.…

General Relativity and Quantum Cosmology · Physics 2008-12-22 Tomas Liko

Quasilocal formulations of black hole are of immense importance since they reveal the essential and minimal assumptions required for a consistent description of black hole horizon, without relying on the asymptotic boundary conditions on…

General Relativity and Quantum Cosmology · Physics 2018-07-10 Ayan Chatterjee , Avirup Ghosh

We show uniqueness of stationary and asymptotically flat black hole space-times with multiple disconnected horizons and with two rotational Killing vector fields in the context of five-dimensional minimal supergravity…

High Energy Physics - Theory · Physics 2014-11-20 Jay Armas , Troels Harmark

The isolated horizon framework was introduced in order to provide a local description of black holes that are in equilibrium with their (possibly dynamic) environment. Over the past several years, the framework has been extended to include…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tomas Liko , Ivan Booth

We show a uniqueness theorem for charged dipole rotating black rings in the bosonic sector of five-dimensional minimal supergravity, generalizing our previous work [arXiv:0901.4724] on the uniqueness of charged rotating black holes with…

High Energy Physics - Theory · Physics 2011-09-14 Shinya Tomizawa

There are two mathematical relativity frameworks generalizing the black hole theory: the theory of isolated horizons (IH) and the theory of near horizon geometries (NHG). We outline here and discuss the derivation of the NHG from the theory…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Jerzy Lewandowski , Adam Szereszewski , Piotr Waluk

We discuss various physical aspects of nonextremal, extremal and supersymmetric black holes in asymptotically anti-de Sitter (ADS) spacetimes. Specifically, we discuss how the isolated horizon (IH) framework leads to an ambiguity-free…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Ivan Booth , Tomas Liko

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

We describe the quantum theory of isolated horizons with electromagnetic or non-Abelian gauge charges in a setting in which both gauge and gravitational field are quantized. We consider the distorted case, and its spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2018-05-02 Konstantin Eder , Hanno Sahlmann

We extend the isolated horizon formalism to include rotating black holes arising in five dimensional Einstein-Gauss-Bonnet (EGB) theory of gravity, and derive the laws of black hole mechanics. This result allows us to show that the first…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Ayan Chatterjee , Sahil Devdutt , Avirup Ghosh

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 electrical laws and Carnot cycle of Isolated Horizon (IH) are investigated in this paper. We establish the Ohm's law and Joule's law of an Isolated Horizon, and find that the conceptual picture of black holes (Membrane Paradigm) can…

General Relativity and Quantum Cosmology · Physics 2015-03-25 Gerui Chen , Xiaoning Wu , Sijie Gao

A Hamiltonian framework is introduced to encompass non-rotating (but possibly charged) black holes that are ``isolated'' near future time-like infinity or for a finite time interval. The underlying space-times need not admit a stationary…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Ashtekar , A. Corichi , K. Krasnov

This thesis is devoted to the study of geometric aspects of black holes and integrable structures in string theory. In the first part, symmetries of the horizon and its bulk extension will be investigated. We investigate the horizon…

High Energy Physics - Theory · Physics 2018-10-15 Andrea Fontanella

The formulation of Weak Isolated Horizons (WIH) based on the Isolated Horizon formulation of black hole horizons is reconsidered. The first part of the paper deals with the derivation of laws of mechanics of a WIH. While the zeroth law…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Ayan Chatterjee , Amit Ghosh

Mechanics of non-rotating black holes was recently generalized by replacing the static event horizons used in standard treatments with `isolated horizons.' This framework is extended to incorporate dilaton couplings. Since there can be…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Abhay Ashtekar , Alejandro Corichi

Recently a multidimensional generalization of Isolated Horizon framework has been proposed by Lewandowski and Pawlowski (gr-qc/0410146). Therein the geometric description was easily generalized to higher dimensions and the structure of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Korzynski , J. Lewandowski , T. Pawlowski

The recently introduced Isolated Horizons (IH) formalism has become a powerful tool for realistic black hole physics. In particular, it generalizes the zeroth and first laws of black hole mechanics in terms of quasi-local quantities and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alejandro Corichi , Daniel Sudarsky

We construct a covariant phase space for rotating weakly isolated horizons in Einstein-Maxwell-Chern-Simons theory in all (odd) $D\geq5$ dimensions. In particular, we show that horizons on the corresponding phase space satisfy the zeroth…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tomas Liko , Ivan Booth

Inspired by the recent proposal of soft hair on black holes in Phys. Rev. Lett. 116, 231301 (2016), we have shown that an isolated horizon carries soft hairs implanted by electromagnetic fields. The solution space and the asymptotic…

High Energy Physics - Theory · Physics 2017-02-08 Pujian Mao , Xiaoning Wu , Hongbao Zhang
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