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By using the 't Hooft "brick wall" model and the Pauli-Villars regularization scheme we calculate the statistical-mechanical entropy arising from the minimally coupled scalar fields which rotate with the azimuthal angular velocity…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jiliang Jing , Mu-Lin Yan

Statistical entropies of a general relativistic ideal gas obeying Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics are calculated in a general axisymmetry space-time of arbitrary dimension. This general formation can be used to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Q. Wu , X. Cai

Black hole entropy is identified with the counting of the dynamical degrees of freedom of trapped gravitational modes continually sourced by the Hawking-Unruh process. In the context of linear perturbations of Schwarzschild spacetime the…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Seth Major , Daniel Rodriguez , Thomas Takis

Microscopic black hole entropy calculations in string theory usually proceeds through identifying them as wrapped strings in one higher dimension. For M-theory on elliptic Calabi-Yau threefolds this proceeds via its relation to F-theory in…

High Energy Physics - Theory · Physics 2024-04-03 Indranil Halder , Cumrun Vafa , Kai Xu

We revisit and study quantum corrections to the supersymmetric entropy of BPS black holes in 4d $\mathcal{N}=2$ effective field theories (EFTs), which can be obtained from Type IIA string theory compactified on a Calabi-Yau threefold.…

High Energy Physics - Theory · Physics 2025-09-08 Alberto Castellano , Matteo Zatti

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

Following the work of Sen, we consider the correspondence between extremal black holes and string states in the context of the entropy. We obtain and study properties of electrically charged black hole backgrounds of tree level heterotic…

High Energy Physics - Theory · Physics 2009-10-28 Amanda W. Peet

We formulate the Rindler space description of rotating black holes in string theories. We argue that the comoving frame is the natural frame for studying thermodynamics of rotating black holes and statistical analysis of rotating black…

High Energy Physics - Theory · Physics 2009-10-30 Donam Youm

Quantum black holes within the loop quantum gravity (LQG) framework are considered. The number of microscopic states that are consistent with a black hole of a given horizon area $A_0$ are counted and the statistical entropy, as a function…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alejandro Corichi , Jacobo Diaz-Polo , Enrique Fernandez-Borja

We study the nonlinear sigma model (NLSM) worldsheet action describing the motion of closed bosonic strings in the target space of a two-dimensional (2D) flat cone in polar coordinates. We calculate the cylinder partition function. We first…

High Energy Physics - Theory · Physics 2025-12-02 Amr Ahmadain , Ming Yang

We have considered the divergence structure in the brick-wall model for the statistical mechanical entropy of a quantum field in thermal equilibrium with a black hole which {\it rotates}. Especially, the contribution to entropy from…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jeongwon Ho , Gungwon Kang

We compute the entropy of extremal black strings in three dimensions, using Strominger's approach to relate the Anti-de-Sitter near-horizon geometry and the conformal field theory at the asymptotic infinity of this geometry. The result is…

High Energy Physics - Theory · Physics 2009-10-31 Nemanja Kaloper

The de Rham-Gabadadze-Tolley (dRGT) black string solution is a cylindrically symmetric and static solution of the Einstein field equation with graviton mass term. For the asymptotically de Sitter (dS) solution, it is possible to obtain the…

General Relativity and Quantum Cosmology · Physics 2022-11-21 Peerawat Sriling , Ratchaphat Nakarachinda , Pitayuth Wongjun

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

We discuss the statistical-mechanical entropy of black hole calculated according to 't Hooft. It is argued that in presence of horizon the statistical mechanics of quantum fields depends on their UV behavior. The ``brick wall'' model was…

High Energy Physics - Theory · Physics 2007-05-23 Sergey Solodukhin

It is observed that the three-dimensional BTZ black hole is a supersymmetric solution of the low-energy field equations of heterotic string theory compactified on an Einstein space. The solution involves a non-zero dilaton and NS-NS…

High Energy Physics - Theory · Physics 2009-10-31 Danny Birmingham , Ivo Sachs , Siddhartha Sen

The thermodynamical one-loop entropy $S^{TD}$ of a two-dimensional black hole in thermal equilibrium with the massless quantum gas is calculated. It is shown that $S^{TD}$ includes the Bekenstein-Hawking entropy, evaluated for the quantum…

High Energy Physics - Theory · Physics 2009-10-30 V. P. Frolov , D. V. Fursaev , A. I. Zelnikov

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

Recently an idea for computing the entropy of black holes in the spin foam formalism has been introduced. Particularly complete calculations for the three dimensional euclidean BTZ black hole were done. The whole calculation is based on…

General Relativity and Quantum Cosmology · Physics 2012-06-12 J. Manuel Garcia-Islas

We review and extend recent attempts to find a precise relation between extremal black hole entropy and degeneracy of microstates using AdS_2/CFT_1 correspondence. Our analysis leads to a specific relation between degeneracy of black hole…

High Energy Physics - Theory · Physics 2009-09-25 Ashoke Sen