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The entropy of black holes in modified theories of gravity is examined in the Palatini formalism using the Noether Charge approach. It is shown that, if the gravitational coupling constant is properly identified, the entropy of a black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dan N. Vollick

Black hole entropy is studied for an exactly solvable model of two-dimensional gravity\cite{rst1}, using recently developed Noether charge techniques\cite{wald1}. This latter approach is extended to accomodate the non-local form of the…

High Energy Physics - Theory · Physics 2010-11-01 Robert C. Myers

We introduce a 'quasi-topological` term [1] in D=1+1 dimensions and the entropy for black holes is calculated [2]. The source of entropy in this case is justified by a non-null stress-energy tensor.

High Energy Physics - Theory · Physics 2007-05-23 Carlos Pinheiro , F. C. Khanna

We derive a formula for the black hole entropy in theories with gravitational Chern-Simons terms, by generalizing Wald's argument which uses the Noether charge. It correctly reproduces the entropy of three-dimensional black holes in the…

High Energy Physics - Theory · Physics 2008-11-26 Yuji Tachikawa

We consider a general, classical theory of gravity in $n$ dimensions, arising from a diffeomorphism invariant Lagrangian. In any such theory, to each vector field, $\xi^a$, on spacetime one can associate a local symmetry and, hence, a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robert M. Wald

In gravitational thermodynamics, the origin of a black hole's entropy is the topology of its instanton or constrained instanton. We prove that the entropy of an arbitrary nonrotating black hole is one quarter the sum of the products of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zhong Chao Wu

Based on the generalized uncertainty principle, we study the entropy of a four-dimensional black hole by counting degrees of freedom near the horizon and obtain the (finite) entropy proportional to the surface area at the horizon without a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Myungseok Yoon , Jihye Ha , Wontae Kim

Quantum effects due to conformal matter in a black hole background result in universal logarithmic corrections to black-hole entropy. The universality resides in the connection of the log term coefficient with those of type-A and type-B…

General Relativity and Quantum Cosmology · Physics 2015-06-16 R Aros , D E Diaz , A Montecinos

In this work some proposals for black hole entropy interpretation are exposed and investigated. In particular I will firstly consider the so called ``entanglement entropy" interpretation, in the framework of the brick wall model, and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Liberati

We argue, using methods taken from the theory of noiseless subsystems in quantum information theory, that the quantum states associated with a Schwarzchild black hole live in the restricted subspace of the Hilbert space of horizon boundary…

High Energy Physics - Theory · Physics 2010-04-05 Olaf Dreyer , Fotini Markopoulou , Lee Smolin

Symmetry based approaches to the black hole entropy problem have a number of attractive features; in particular they are very general and do not depend on the details of the quantization method. However we point out that, of the two…

High Energy Physics - Theory · Physics 2009-11-07 Olaf Dreyer , Amit Ghosh , Jacek Wisniewski

In this report, a general method to extract thermodynamic quantities from solutions of the Einstein equation is developed. In 1994, Wald established that the entropy of a black hole could be identified as a Noether charge associated with a…

General Relativity and Quantum Cosmology · Physics 2018-01-29 Yoshimasa Kurihara

We investigate the entropy of black holes in Gauss-Bonnet and Lovelock gravity using the Noether charge approach, in which the entropy is given as the integral of a suitable (n-2) form charge over the event horizon. We compare the results…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Tim Clunan , Simon F. Ross , Douglas J. Smith

Parikh-Wilczek tunnelling framework, which treats Hawking radiation as a tunnelling process, is investigated again. As the first order correction, the log-corrected entropy-area relation naturally emerges in the tunnelling picture if we…

High Energy Physics - Theory · Physics 2008-11-26 Jingyi Zhang

The Euclidean black hole has topology $\Re^2 \times {\cal S}^{d-2}$. It is shown that -in Einstein's theory- the deficit angle of a cusp at any point in $\Re^2$ and the area of the ${\cal S}^{d-2}$ are canonical conjugates. The black hole…

General Relativity and Quantum Cosmology · Physics 2009-01-23 Máximo Bañados , Claudio Teitelboim , Jorge Zanelli

A simple regular black hole solution satisfying the weak energy condition is obtained within Einstein--non--linear electrodynamics theory. We have computed the thermodynamic properties of this black hole by a careful analysis of the…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Nicolás Morales--Durán , Andrés F. Vargas , Paulina Hoyos--Restrepo , Pedro Bargueño

A key test of any quantum theory of gravity is its ability to reproduce the known thermodynamic properties of black holes. A statistical mechanical description of the Bekenstein-Hawking entropy once seemed remote, but today we suffer an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Steven Carlip

The equivalence principle and its universality enables the geometrical formulation of gravity. In the standard formulation of General Relativity \'a la Einstein, the gravitational interaction is geometrized in terms of the spacetime…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Lavinia Heisenberg , Simon Kuhn , Laurens Walleghem

Although we have convincing evidence that a black hole bears an entropy proportional to its surface (horizon) area, the ``statistical mechanical'' explanation of this entropy remains unknown. Two basic questions in this connection are: what…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Rafael D. Sorkin

The black hole information puzzle arises from a discrepancy between conclusions drawn from general relativity and quantum theory about the nature of the radiation emitted by a black hole. According to Hawking's original argument, the…

High Energy Physics - Theory · Physics 2021-12-24 Renato Renner , Jinzhao Wang
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