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Black holes in equilibrium and the counting of their entropy within Loop Quantum Gravity are reviewed. In particular, we focus on the conceptual setting of the formalism, briefly summarizing the main results of the classical formalism and…

General Relativity and Quantum Cosmology · Physics 2009-01-12 Alejandro Corichi

We give an account of the state of the art about black hole entropy in Loop Quantum Gravity. This chapter contains a historical summary and explains how black hole entropy is described by relying on the concept of isolated horizon, with an…

General Relativity and Quantum Cosmology · Physics 2022-12-29 J. Fernando Barbero G. , Daniele Pranzetti

Simple arguments related to the entropy of black holes strongly constrain the spectrum of the area operator for a Schwarzschild black hole in loop quantum gravity. In particular, this spectrum is fixed completely by the assumption that the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 I. B. Khriplovich

We calculate the black hole entropy in Loop Quantum Gravity as a function of the horizon area and provide the exact formula for the leading and sub-leading terms. By comparison with the Bekenstein-Hawking formula we uniquely fix the value…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Krzysztof A. Meissner

We give a practical method to exactly compute black hole entropy in the framework of Loop Quantum Gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ivan Agullo , J. Fernando Barbero G. , Jacobo Diaz-Polo , Enrique Fernandez-Borja , Eduardo J. S. Villaseñor

The entanglement entropy between quantum fields inside and outside a black hole horizon is a promising candidate for the microscopic origin of black hole entropy. We show that the entanglement entropy may be defined in loop quantum gravity,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 William Donnelly

We review black hole entropy with special reference to euclidean quantum gravity, the brick wall approach and loop quantum gravity.

High Energy Physics - Theory · Physics 2009-03-09 P. Mitra

Earlier calculations of black hole entropy in loop quantum gravity have given a term proportional to the area with a correction involving the logarithm of the area when the area eigenvalue is close to the classical area. However the…

General Relativity and Quantum Cosmology · Physics 2014-06-25 P. Mitra

The finiteness of black hole entropy suggest that spacetime is fundamentally discrete, and hints at an underlying relationship between geometry and "information". The foundation of this relationship is yet to be uncovered, but should…

General Relativity and Quantum Cosmology · Physics 2008-10-14 D. Rideout , S. Zohren

We discuss some issues related to the computation of black hole entropy in loop quantum gravity from the novel point of view provided by the recent number-theoretical methods introduced by the authors and their collaborators. In particular…

General Relativity and Quantum Cosmology · Physics 2010-05-19 J. Fernando Barbero G. , Eduardo J. S. Villaseñor

We give a complete and detailed description of the computation of black hole entropy in loop quantum gravity by employing the most recently introduced number-theoretic and combinatorial methods. The use of these techniques allows us to…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Ivan Agullo , J. Fernando Barbero G. , Enrique F. Borja , Jacobo Diaz-Polo , Eduardo J. S. Villaseñor

We argue that the statistical entropy relevant for the thermal interactions of a black hole with its surroundings is (the logarithm of) the number of quantum microstates of the hole which are distinguishable from the hole's exterior, and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlo Rovelli

In the framework of loop quantum gravity (LQG), having quantum black holes in mind, we generalize the previous boundary state counting (gr-qc/0508085) to a full bulk state counting. After a suitable gauge fixing we are able to compute the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Etera R. Livine , Daniel R. Terno

We propose a way to describe the origin of black hole entropy in the spin foam models of quantum gravity. This stimulates a new way to study the relation of spin foam models and loop quantum gravity.

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Manuel Garcia-Islas

This chapter gives an overview of the quantum aspects of black holes, focusing on the black hole information problem, the counting of black hole entropy in string theory, and the emergence of spacetime in holography. It is aimed at a broad…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Daniel Harlow

Black hole thermodynamics suggests that the maximum entropy that can be contained in a region of space is proportional to the area enclosing it rather than its volume. I argue that this follows naturally from loop quantum gravity and a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 John Swain

Entropy plays a crucial role in characterization of information and entanglement, but it is not a scalar quantity and for many systems it is different for different relativistic observers. Loop quantum gravity predicts the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Daniel R. Terno

The quasi-local notion of an isolated horizon is employed to study the entropy of black holes without any particular symmetry in loop quantum gravity. The idea of characterizing the shape of a horizon by a sequence of local areas is…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Shupeng Song , Haida Li , Yongge Ma , Cong Zhang

Motivated by the analogy proposed by Witten between Chern-Simons and Conformal Field Theories, we explore an alternative way of computing the entropy of a black hole starting from the isolated horizon framework in Loop Quantum Gravity. The…

High Energy Physics - Theory · Physics 2015-03-12 Ivan Agullo , Enrique F. Borja , Jacobo Diaz-Polo

Loop Gravity provides a microscopic derivation of Black Hole entropy. In this paper, I show that the microstates counted admit a semiclassical description in terms of shapes of a tessellated horizon. The counting of microstates and the…

General Relativity and Quantum Cosmology · Physics 2011-07-28 Eugenio Bianchi
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