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Isolated Horizons have played an important role in gravitational physics, from characterization of the endpoint of black hole mergers to black hole entropy. With an eye towards a canonical formulation we consider general relativity in first…

广义相对论与量子宇宙学 · 物理学 2017-03-29 Alejandro Corichi , Juan D. Reyes , Tatjana Vukašinac

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…

广义相对论与量子宇宙学 · 物理学 2013-02-05 Jonathan Engle , Tomas Liko

Weak isolated horizon boundary conditions have been relaxed supposedly to their weakest form such that both zeroth and the first law of black hole mechanics still emerge, thus making the formulation more amenable for applications in both…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Ayan Chatterjee , Amit 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…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Abhay Ashtekar , Olaf Dreyer , Jacek Wisniewski

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,…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Abhay Ashtekar , Christopher Beetle , Olaf Dreyer , Stephen Fairhurst , Badri Krishnan , Jerzy Lewandowski , Jacek Wisniewski

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…

广义相对论与量子宇宙学 · 物理学 2009-10-29 José Luis Jaramillo

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…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Abhay Ashtekar , Christopher Beetle , Stephen Fairhurst

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…

广义相对论与量子宇宙学 · 物理学 2014-11-17 A. Ashtekar , A. Corichi , K. Krasnov

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…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Abhay Ashtekar , Badri Krishnan

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Tomas Liko , Ivan Booth

In this paper we investigate the properties of tunneling spectrum from weakly isolated horizon(WIH). We find that there are correlations among Hawking radiations from weakly isolated horizon, the information can be carried out in terms of…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Ge-Rui Chen , Yong-Chang Huang

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…

广义相对论与量子宇宙学 · 物理学 2009-11-06 Ayan Chatterjee , Amit Ghosh

The Hamiltonian description of classical gauge theories is a well studied subject. The two best known approaches, namely the covariant and canonical Hamiltonian formalisms have received a lot of attention in the literature. However, in our…

广义相对论与量子宇宙学 · 物理学 2025-09-11 Alejandro Corichi , Juan D. Reyes , Tatjana Vukasinac

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 .…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Abhay Ashtekar , Christopher Beetle , Stephen Fairhurst

The spectroscopy of a weakly isolated horizon (WIH) has been investigated. We obtain an equally spaced entropy spectrum with its quantum equal to the one given by Bekenstein [5]. We demonstrate that the quantization of entropy and area is a…

广义相对论与量子宇宙学 · 物理学 2015-02-13 Ge-Rui Chen , Yong-Chang Huang

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…

广义相对论与量子宇宙学 · 物理学 2009-11-10 M. Korzynski , J. Lewandowski , T. Pawlowski

Isolated and Dynamical horizons are used to generate boundary conditions upon the lapse and shift vectors. Numerous results involving the Hamiltonian of General relativity are derived, including a self-contained derivation of the…

广义相对论与量子宇宙学 · 物理学 2023-12-21 Zoë Schirmer

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…

广义相对论与量子宇宙学 · 物理学 2018-07-10 Ayan Chatterjee , Avirup Ghosh

The arena normally used in black holes thermodynamics was recently generalized to incorporate a broad class of physically interesting situations. The key idea is to replace the notion of stationary event horizons by that of `isolated…

广义相对论与量子宇宙学 · 物理学 2017-09-27 Abhay Ashtekar

Several properties of canonical quantum gravity modify space-time structures, sometimes to the degree that no effective line elements exist to describe the geometry. An analysis of solutions, for instance in the context of black holes, then…

广义相对论与量子宇宙学 · 物理学 2011-11-04 Martin Bojowald , George M. Paily , Juan D. Reyes , Rakesh Tibrewala
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