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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 macroscopic entropy and the attractor equations for BPS black holes in four-dimensional N=2 supergravity theories follow from a variational principle for a certain `entropy function'. We present this function in the presence of…

High Energy Physics - Theory · Physics 2009-11-11 G. L. Cardoso , B. de Wit , J. Käppeli , T. Mohaupt

We study the entropy of the black hole with torsion using the covariant form of the partition function. The regularization of infinities appearing in the semiclassical calculation is shown to be consistent with the grand canonical boundary…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Blagojevic , B. Cvetkovic

We investigate the contributions of quantum fields to black hole entropy by using a cutoff scale at which the theory is described with a Wilsonian effective action. For both free and interacting fields, the total black hole entropy can be…

High Energy Physics - Theory · Physics 2013-04-24 Ted Jacobson , Alejandro Satz

We consider the entropy of a black hole which has zero area horizon. The microstates appear as monopole solutions of the effective theory on the corresponding brane configurations.The resulting entropy formula coincides with the one…

High Energy Physics - Theory · Physics 2009-10-31 Takao Suyama

In this paper we calculate the entropy of a thin spherical shell that contracts reversibly from infinity down to its event horizon. We find that, for a broad class of equations of state, the entropy of a non-extremal shell is one-quarter of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 F. Pretorius , D. Vollick , W. Israel

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 analyze the statistical mechanics of a gas of neutral and charged black holes. The microcanonical ensemble is the only possible approach to this system, and the equilibrium configuration is the one for which most of the energy is carried…

High Energy Physics - Theory · Physics 2009-10-22 B. Harms , Y. Leblanc

Two techniques for computing black hole entropy in generally covariant gravity theories including arbitrary higher derivative interactions are studied. The techniques are Wald's Noether charge approach introduced recently, and a field…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Ted Jacobson , Gungwon Kang , Robert C. Myers

The brick wall model is a semi-classical approach to understanding the microscopic origin of black hole entropy. We outline the formalism for the brick wall model in arbitrary number of dimensions and generalize it to include both charged…

High Energy Physics - Theory · Physics 2025-05-22 Axel Hrelja , Tajron Jurić , Filip Požar

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

We consider an intrinsic entropy associated with a local conformal net A by the coefficients in the expansion of the logarithm of the trace of the ``heat kernel'' semigroup. In analogy with Weyl theorem on the asymptotic density…

Mathematical Physics · Physics 2011-04-06 Yasuyuki Kawahigashi , Roberto Longo

We construct several charged regular black hole metrics employing mass distribution functions which are inspired by continuous probability distributions. Some of these metrics satisfy the weak energy condition and asymptotically behave as…

General Relativity and Quantum Cosmology · Physics 2014-12-24 Leonardo Balart , Elias C. Vagenas

We have obtained an exact solution for a static black hole in the theory with nonminimal derivative coupling of a scalar field and gravity with a power-law Maxwell field minimally coupled to gravity. Supposing that the black hole might be…

High Energy Physics - Theory · Physics 2018-10-02 Mykola M. Stetsko

In this contribution, the thermodynamics of black holes is treated by the model of Expansive Nondecelerative Universe (ENU). Based on entropy considerations and localization of gravitational energy, estimation of both the lower and upper…

General Physics · Physics 2007-05-23 Jozef Sima , Miroslav Sukenik

Entropy of the Kerr-Newman black hole is calculated via the brick wall method with maintaining careful attention to the contribution of superradiant scalar modes. It turns out that the nonsuperradinat and superradiant modes simultaneously…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Jeongwon Ho , Won Tae Kim , Young-Jai Park , Hyeonjoon Shin

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

One of the remarkable features of black holes is that they possess a thermodynamic description, even though they do not appear to be statistical systems. We use self-gravitating magnetic monopole solutions as tools for understanding the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Arthur Lue , Erick J. Weinberg

Interior volume within the horizon of a black hole is a non-trivial concept which turns out to be very important to explain several issues in the context of quantum nature of black hole. Here we show that the entropy, contained by the {\it…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Bibhas Ranjan Majhi , Saurav Samanta

We show that the monopole scalar charge of black holes in Einstein--Maxwell--dilaton theory is proportional to the electric potential at the event horizon, with a proportionality factor given by (minus) the scalar coupling constant. We also…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Costantino Pacilio