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Supersymmetric localization has lead to remarkable progress in computing quantum corrections to BPS black hole entropy. The program has been successful especially for computing perturbative corrections to the Bekenstein-Hawking area…

High Energy Physics - Theory · Physics 2018-10-17 Joao Gomes

Based on the entropy function formalism, we consider the extremal Kerr-(anti-)de Sitter black holes in 4-dimensions. Solving differential equations exactly, which are obtained by extremizing the entropy function, we find agreement of the…

High Energy Physics - Theory · Physics 2014-11-18 Jin-Ho Cho , Yumi Ko , Soonkeon Nam

We consider corrections to all orders in the Planck length on the quantum state density, and calculate the statistical entropy of the scalar field on the background of the Bardeen regular black hole numerically. We obtain the distribution…

General Relativity and Quantum Cosmology · Physics 2014-08-28 Hai Huang , Juhua Chen , Yongjiu Wang

We study the leading $\alpha^\prime$ corrections to the entropy of certain black holes with AdS$_5\times S^5$ asymptotics. We find that, in the supersymmetric limit, the entropy does not receive $\alpha^\prime$ corrections. This result…

High Energy Physics - Theory · Physics 2022-03-04 João F. Melo , Jorge E. Santos

The entropy and the attractor equations for static extremal black hole solutions follow from a variational principle based on an entropy function. In the general case such an entropy function can be derived from the reduced action evaluated…

High Energy Physics - Theory · Physics 2010-10-27 G. L. Cardoso , B. de Wit , S. Mahapatra

We generalize the entropy function formalism to five-dimensional and four-dimensional non-extremal black holes in string theory. In the near horizon limit, these black holes have BTZ metric as part of the spacetime geometry. It is shown…

High Energy Physics - Theory · Physics 2009-11-13 Rong-Gen Cai , Da-Wei Pang

BPS black hole degeneracies can be expressed in terms of an inverse Laplace transform of a partition function based on a mixed electric/magnetic ensemble, which involves a non-trivial integration measure. This measure has been evaluated for…

High Energy Physics - Theory · Physics 2010-05-28 G. L. Cardoso , B. de Wit , S. Mahapatra

The entropy of a Ba\~nados, Teitelboim, and Zanelli black hole in topologically massive gravity had been given with the form inconsistent with the Bekenstein-Hawking entropy. In the paper, we provide a consistent statistical interpretation…

High Energy Physics - Theory · Physics 2013-12-12 Baocheng Zhang

We discuss higher derivative corrections to black hole entropy in theories that allow a near horizon AdS_3 x X geometry. In arbitrary theories with diffeomorphism invariance we show how to obtain the spacetime central charge in a simple…

High Energy Physics - Theory · Physics 2010-04-06 Per Kraus , Finn Larsen

In five-dimensional minimal supergravity, there are spherical black holes with nontrivial topology outside the horizon which have the same conserved charges at infinity as the BMPV solution. We show that some of these black holes have…

High Energy Physics - Theory · Physics 2017-06-13 Gary T. Horowitz , Hari K. Kunduri , James Lucietti

A scheme for calculating corrections to all orders to the entropy of any thermodynamic system due to statistical fluctuations around equilibrium has been developed. It is then applied to the BTZ black hole, AdS-Schwarzschild black Hole and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Surhud Shrikant More

We compute leading order corrections to the entropy of any thermodynamic system due to small statistical fluctuations around equilibrium. When applied to black holes, these corrections are shown to be of the form $-k\ln(Area)$. For BTZ…

High Energy Physics - Theory · Physics 2014-11-18 Saurya Das , Parthasarathi Majumdar , Rajat K. Bhaduri

From the black hole thermodynamics point of view, we show that the entropy function $\mathbf{f}$ and the free energy $F$ are related via $\mathbf{f}=e_{I}q_{I}+\Omega_Hq_I{A_{\phi}^I}'-\frac{\partial F}{\partial r} |_{r_{H}}$. Assuming the…

High Energy Physics - Theory · Physics 2008-05-06 Xian-Hui Ge , Fu-Wen Shu

We investigate further the recent analysis \cite{R.Banerjee2}, based on a Hamilton-Jacobi type approach, to compute the temperature and entropy of black holes beyond the semiclassical approximation. It is shown how non spherically symmetric…

High Energy Physics - Theory · Physics 2009-01-16 Sujoy Kumar Modak

Starting from metric of the general nonextreme stationary axisymmetric black hole in four-dimensional spacetime, both statistical-mechanical and thermodynamical entropies are studied. First, by means of the "brick wall" model in which the…

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

Using the AdS/CFT correspondence we calculate the explicit form of the entanglement entropy for the charged BTZ black hole. The leading term in the large temperature expansion of the entropy function for this black hole reproduces its…

General Relativity and Quantum Cosmology · Physics 2011-09-02 Alexis Larranaga

Using the corrected expression of Hawking temperature derived from the tunneling formalism beyond semiclassical approximation developed by \emph{Banerjee} and \emph{Majhi}\cite{beyond}, we calculate the corrected entropy of a high…

High Energy Physics - Theory · Physics 2009-10-31 Tao Zhu , Ji-Rong Ren , Ming-Fan Li

We compute the logarithmic corrections to black hole (BH) entropy product of ${\cal H}^{\pm}$ \footnote{ ${\cal H}^{+}$ and ${\cal H}^{-}$ denote outer (event) horizon and inner (Cauchy) horizons} by using \emph{Cardy prescription}. We…

General Relativity and Quantum Cosmology · Physics 2017-01-13 Parthapratim Pradhan

The entanglement and R\'{e}nyi entropies for spherical entangling surfaces in CFTs with gravity duals can be explicitly calculated by mapping these entropies first to the thermal entropy on hyperbolic space and then, using the AdS/CFT…

High Energy Physics - Theory · Physics 2016-09-12 Subhash Mahapatra

We use the Kerr/CFT correspondence to calculate the entropy for all known extremal stationary and axisymmetric black holes. This is done with the help of two ansatzs that are general enough to cover all such known solutions. Considering…

High Energy Physics - Theory · Physics 2010-04-30 Jianwei Mei