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To derive black hole thermodynamics in any quantum theory of gravity, one must introduce constraints that ensure that a black hole is actually present. For a large class of black holes, the imposition of such ``horizon constraints'' allows…

General Relativity and Quantum Cosmology · Physics 2015-05-13 S. Carlip

We show that a surface term should be added to the Einstein-Hilbert action in order to properly describe quantum transitions occurring around a black hole. The introduction of this boundary term has been advocated by Teitelboim and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Massar , R. Parentani

We review some recent results on alpha'-exact calculations of the entropy and near-horizon geometry of black holes in heterotic string theory.

High Energy Physics - Theory · Physics 2010-01-12 Predrag Dominis Prester

Recently it has been speculated that a set of diffeomorphisms exist which act non-trivially on the horizon of some black holes such as Kerr and Kerr-Newman black hole. %\cite{Haco:2018ske,Haco:2019ggi}. Using this symmetry in covariant…

High Energy Physics - Theory · Physics 2023-01-09 M. R. Setare , A. Jalali

In this thesis I examine several different concepts of black hole entropy in order to understand whether they describe the same quantity. I look at statistical and entanglement entropies, Wald entropy and Carlip's entropy from conformal…

General Relativity and Quantum Cosmology · Physics 2016-03-15 Judy Kupferman

We review the insights into black hole entropy that arise from the formulation of gravitation theory in terms of dimensional continuation. The role of the horizon area and the deficit angle of a conical singularity at the horizon as…

High Energy Physics - Theory · Physics 2007-05-23 C. Teitelboim

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

Restricted to a black hole horizon, the ``gauge'' algebra of surface deformations in general relativity contains a Virasoro subalgebra with a calculable central charge. The fields in any quantum theory of gravity must transform accordingly,…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip

The thermodynamic and euclidean functional integral approaches to black hole entropy are discussed. The existence of some freedom in the definition of the entropy is pointed out and the possibility of a departure from the semiclassical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. Mitra

This is an extended version of our short report hep-th/0603001, where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant…

High Energy Physics - Theory · Physics 2010-02-03 Shinsei Ryu , Tadashi Takayanagi

We consider the entanglement between quantum field degrees of freedom inside and outside the horizon as a plausible source of black-hole entropy. We examine possible deviations of black hole entropy from area proportionality. We show that…

General Relativity and Quantum Cosmology · Physics 2007-11-21 Saurya Das , S. Shankaranarayanan , Sourav Sur

We show that a geometrical notion of entropy, definable in flat space, governs the first quantum correction to the Bekenstein-Hawking black hole entropy. We describe two methods for calculating this entropy -- a straightforward Hamiltonian…

High Energy Physics - Theory · Physics 2016-09-06 Curtin Callan , Frank Wilczek

The entropy of a black hole can differ from a quarter of the area of the horizon because of quantum corrections. The correction is related to the contribution to the Euclidean functional integral from quantum fluctuations but is not simply…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Ghosh , P. Mitra

In a recent letter (PRL 95, 190601 (2005)), T.M. Rocha Filho and coworkers address the very interesting issue of the entropic form to be used for Hamiltonians with long-range interactions. In our opinion the letter misses several points…

Statistical Mechanics · Physics 2007-05-23 A. Rapisarda , A. Pluchino , C. Tsallis

Black holes behave as thermodynamic objects, and it is natural to ask for an underlying "statistical mechanical" explanation in terms of microscopic degrees of freedom. I summarize attempts to describe these degrees of freedom in terms of a…

General Relativity and Quantum Cosmology · Physics 2015-06-05 S. Carlip

Path integral methods are used to derive a general expression for the entropy of a black hole in a diffeomorphism invariant theory. The result, which depends on the variational derivative of the Lagrangian with respect to the Riemann…

General Relativity and Quantum Cosmology · Physics 2009-10-28 David Brown

Recent calculations have shown that the linear proportionality between black hole entropy and area can be explained by performing a density matrix calculation for a massless free field theory. By applying the same formalism to an empirical…

Condensed Matter · Physics 2014-10-13 David J. E. Callaway

I argue that black hole entropy counts only those states of a black hole that can influence the outside, and attempt (with only partial success) to defend this claim against various objections, all but one coming from string theory.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ted Jacobson

In this work we generalize the results for the entropy spectra typically derived for black holes in general relativity to a generic horizon within the spherically symmetric (asymptotically flat and non-flat) space-times of more general…

General Relativity and Quantum Cosmology · Physics 2014-02-19 Jozef Skakala , S. Shankaranarayanan

The investigation about the volume of a black hole is closely related to the quantum nature of the black hole. The entropy is a significant concept for this. A recent work by Majhi and Samanta [Phys. Lett. B 770 (2017) 314] after us…

General Relativity and Quantum Cosmology · Physics 2017-09-22 Baocheng Zhang