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Related papers: Mechanics of Rotating Isolated Horizons

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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

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

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 framework was recently introduced to generalize black hole mechanics by replacing stationary event horizons with isolated horizons. That framework is significantly extended. The extension is non-trivial in that not only do the boundary…

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

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…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Abhay Ashtekar

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

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

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

The Horizon Quantum Mechanics is an approach that was previously introduced in order to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. In this work,…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Roberto Casadio , Andrea Giugno , Andrea Giusti , Octavian Micu

We investigate whether black holes can be defined without using event horizons. In particular we focus on the thermodynamic properties of event horizons and the alternative, locally defined horizons. We discuss the assumptions and…

High Energy Physics - Theory · Physics 2009-07-22 Alex B. Nielsen

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

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…

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

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

In Lorentz violating theories of gravitation with a preferred foliation a notion of black hole is still possible, despite the presence of infinitely fast propagating modes. Such event horizons are known as universal horizons. Their…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Stefano Liberati , Costantino Pacilio

Black holes are often characterized by event horizons, following the literature that laid the mathematical foundations of the subject in the 1970s. However black hole event horizons have two fundamental conceptual limitations. First, they…

General Relativity and Quantum Cosmology · Physics 2023-08-21 Abhay Ashtekar

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

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

The concept of "Isolated Horizon" has been recently used to provide a full Hamiltonian treatment of black holes. It has been applied successfully to the cases of {\it non-rotating}, {\it non-distorted} black holes in Einstein Vacuum,…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alejandro Corichi , Ulises Nucamendi , Daniel Sudarsky

The motion of a particle near the RN black hole horizon is described by conformal mechanics. Models of this type have no ground state with vanishing energy. This problem was resolved in past by a redefinition of the Hamiltonian which breaks…

High Energy Physics - Theory · Physics 2007-05-23 Renata Kallosh
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