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We display a logarithmic divergence in the density matrix of a scalar field in the presence of an Einstein-Yang-Mills black hole in four dimensions. This divergence is related to a previously-found logarithmic divergence in the entropy of…

General Relativity and Quantum Cosmology · Physics 2019-08-17 John Ellis , N. E. Mavromatos , D. V. Nanopoulos , E. Winstanley

The first quantum corrections to the free energy for an eternal 4-dimensional black hole is investigated at one-loop level, in the large mass limit of the black hole, making use of the conformal techniques related to the optical metric. The…

High Energy Physics - Theory · Physics 2010-04-06 Guido Cognola , Luciano Vanzo , Sergio Zerbini

The decay rate for a black hole to decay nonperturbatively via tunneling is shown to be related to the Bekenstein-Hawking black hole entropy $S_{bh}$. This new physical interpretation of the black hole entropy was presented first in 1988 in…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Pawel O. Mazur

Non-rotating black holes in three and four dimensions are shown to possess a canonical entropy obeying the Bekenstein-Hawking area law together with a leading correction (for large horizon areas) given by the logarithm of the area with a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ashok Chatterjee , Parthasarathi Majumdar

We consider a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant. These solutions have the property that the horizon is a (d-2)-dimensional Einstein manifold of positive, zero, or…

High Energy Physics - Theory · Physics 2009-10-31 Danny Birmingham

Recently Bekenstein and Mayo conjectured an entropy bound for charged rotating objects. On the basis of the No-Hair principle for black holes, they speculate that this bound cannot be improved generically based on knowledge of other…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Avraham E. Mayo

In 1996, Rovelli suggested a connection between black hole entropy and the area spectrum. Using this formalism and a theorem we prove in this paper, we briefly show the procedure to calculate the quantum corrections to the…

General Relativity and Quantum Cosmology · Physics 2013-02-18 Youngsub Yoon

It has often been suggested (especially by Carlip) that spacetime symmetries in the neighborhood of a black hole horizon may be relevant to a statistical understanding of the Bekenstein-Hawking entropy. A prime candidate for this type of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. J. M. Medved

It has been suggested that the quantum generalization of the Wald entropy for an extremal black hole is the logarithm of the ground state degeneracy of a dual quantum mechanics in a fixed charge sector. We test this proposal for…

High Energy Physics - Theory · Physics 2009-11-13 Rajesh Kumar Gupta , Ashoke Sen

In this paper, we examine a generic theory of 1+1-dimensional gravity with coupling to a scalar field. Special attention is paid to a class of models that have a power-law form of dilaton potential and can capably admit black hole…

High Energy Physics - Theory · Physics 2009-11-07 A. J. M. Medved

One proposal by Verlinde \cite{Verlinde:2010hp} is that gravity is not a fundamental, but an entropic force. In this way, Verlinde has provide us with a way to derive the Newton's law of gravitation from the Bekenstein-Hawking entropy-area…

General Relativity and Quantum Cosmology · Physics 2016-06-22 R. G. L. Aragão , C. A. S. Silva

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

In this thesis, we examine in detail the notion of black hole entropy in Quantum Field Theories, with a specific focus on supersymmetric black holes and the perturbative and non-perturbative quantum corrections to the classical area-law of…

High Energy Physics - Theory · Physics 2016-10-04 Valentin Reys

We study the state-counting problem that arises in the SU(2) black hole entropy calculation in loop quantum gravity. More precisely, we compute the leading term and the logarithmic correction of both the spherically symmetric and the…

General Relativity and Quantum Cosmology · Physics 2012-08-15 Jonathan Engle , Karim Noui , Alejandro Perez , Daniele Pranzetti

In this article we will discuss a Lorentzian sector calculation of the entropy of a minimally coupled scalar field in the Kerr black hole background. We will use the brick wall model of G.'t Hooft. In the Kerr black hole, complications…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Kaushik Ghosh

The volume of a black hole under noncommutative spacetime background is found to be infinite, in contradiction with the surface area of a black hole, or its Bekenstein-Hawking (BH) entropy, which is well-known to be finite. Our result rules…

General Relativity and Quantum Cosmology · Physics 2016-12-26 Baocheng Zhang , Li You

Using the quasilocal properties alone we show that the area spectrum of a black hole horizon must be discrete, independent of any specific quantum theory of gravity. The area spectrum is found to be half-integer spaced with values $8\pi…

General Relativity and Quantum Cosmology · Physics 2020-07-31 Ayan Chatterjee , Amit Ghosh

We continue the effort of defining and evaluating the quantum entropy function for supersymmetric black holes in 4d ${\cal N} = 2$ gauged supergravity, initiated in [1803.05920]. The emphasis here is on the missing steps in the previous…

High Energy Physics - Theory · Physics 2020-01-08 Kiril Hristov , Ivano Lodato , Valentin Reys

Black holes are thermodynamic objects, but despite recent progress, the ultimate statistical mechanical origin of black hole temperature and entropy remains mysterious. Here I summarize an approach in which the entropy is viewed as arising…

General Relativity and Quantum Cosmology · Physics 2010-04-28 Steven Carlip

In this paper we discuss the entropy of quantum black holes in the LQG formalism when the number of punctures on the horizon is treated as a quantum hair, that is we compute the black hole entropy in the grand canonical (area) ensemble. The…

General Relativity and Quantum Cosmology · Physics 2012-08-30 Kinjalk Lochan , Cenalo Vaz