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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 statistical mechanical calculation of the thermodynamical properties of non-rotating isolated horizons are studied in the loop quantum gravity framework. By employing the Hawking temperature and horizon mass of isolated horizons as…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Shupeng Song , Gaoping Long , Cong Zhang , Xiangdong Zhang

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

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

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

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

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

Black hole mechanics was recently extended by replacing the more commonly used event horizons in stationary space-times with isolated horizons in more general space-times (which may admit radiation arbitrarily close to black holes).…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Abhay Ashtekar , Christopher Beetle , Jerzy Lewandowski

We study the mechanics of D-dimensional isolated horizons (IHs) for Einstein gravity in the presence of arbitrary p-form matter fields. This generalizes the analysis of Copsey and Horowitz to non-stationary spacetimes and therefore the…

General Relativity and Quantum Cosmology · Physics 2009-04-29 Tomas Liko

It is shown that a Quantum Isolated Horizon(QIH), as observed by a local observer, is locally unstable as a thermodynamic system. The result is derived in two different ways. Firstly, the specific heat of the QIH is shown to be negative…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Abhishek Majhi

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 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

The Embedded Horizon is defined to be a horizon that is in equilibrium with the exterior of the black hole, that is, isolated on the outside, but dynamically evolving on the inside, analogous to the inner and outer event horizons of the…

General Relativity and Quantum Cosmology · Physics 2019-11-15 Anushka Durg , Aryan Bethmangalkar

Following a recent proposal, we consider the most general structure possible for the Hamiltonian operator associated with the Quantum Isolated Horizon(QIH) with explanations of the underlying physical motivations. An extensive thermodynamic…

General Relativity and Quantum Cosmology · Physics 2014-07-18 Abhishek Majhi

We present a statistical mechanical calculation of the thermodynamical properties of (non rotating) isolated horizons. The introduction of Planck scale allows for the definition of an universal horizon temperature (independent of the mass…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Amit Ghosh , Alejandro Perez

The Isolated Horizons (IH) formalism, together with a simple phenomenological model for colored black holes has been used to predict non-trivial formulae that relate the ADM mass of the solitons and hairy Black Holes of Gravity-Matter…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alejandro Corichi , Ulises Nucamendi , Marcelo Salgado

Using the recent thermodynamical study of isolated horizons by Ghosh and Perez, we provide a statistical mechanical analysis of isolated horizons near equilibrium in the grand canonical ensemble. By matching the description of the dynamical…

General Relativity and Quantum Cosmology · Physics 2012-08-15 Daniele Pranzetti

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

We show that the geometry of a black hole horizon can be described as a Carrollian geometry emerging from an ultra-relativistic limit where the near-horizon radial coordinate plays the role of a virtual velocity of light tending to zero. We…

High Energy Physics - Theory · Physics 2020-05-08 Laura Donnay , Charles Marteau
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