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The entropy spectrum of a spherically symmetric black hole was derived without the quasinormal modes in the work of Majhi and Vagenas. Extending this work to rotating black holes, we quantize the entropy and the horizon area of a Kerr…

General Relativity and Quantum Cosmology · Physics 2014-04-28 Deyou Chen , Haitang Yang

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

We derive an approximate expression for the entropy of Hawking radiation filling a spherical box in stable thermodynamic equilibrium with the Schwarzschild black hole that produced the said radiation. The Bekenstein entropy bound is…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Diego Pavón

In loop quantum gravity, the number $N_\Gamma(A,\gamma)$ of microstates of a black hole for a given discrete geometry $\Gamma$ depends on the so-called Barbero-Immirzi parameter $\gamma$. Using a suitable analytic continuation of $\gamma$…

General Relativity and Quantum Cosmology · Physics 2014-07-08 Ernesto Frodden , Marc Geiller , Karim Noui , Alejandro Perez

The Bekenstein-Hawking equation states that black holes should have entropy proportional to their areas to make black hole physics compatible with the second law of thermodynamics. However, this equation leads to an inconsistency among the…

High Energy Physics - Theory · Physics 2025-04-04 Koji Azuma , Sathyawageeswar Subramanian , Go Kato

The Bekenstein-Hawking entropy is a cornerstone of horizon thermodynamics but quantum effects correct it, while inequivalent entropies arise also in non-extensive thermodynamics. Reviewing our previous work, we advocate for a new entropy…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

Calculations of black hole entropy based on the counting of modes of a quantum field propagating in a Schwarzschild background need to be regularized in the vicinity of the horizon. To obtain the Bekenstein-Hawking result the short distance…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Michele Arzano , Stefano Bianco , Olaf Dreyer

During the last years, one had to combine the proposal about how quasinormal frequencies are related with black holes and the proposal about the adiabatic invariance of black holes in order to derive the quantized entropy spectrum and its…

General Relativity and Quantum Cosmology · Physics 2011-07-13 Bibhas Ranjan Majhi , Elias C. Vagenas

We provide a simple way for calculating the entropy of a Schwarzschild black hole from the entropy of its Hawking radiation. To this end, we show that if a thermodynamic system loses its energy only through the black body radiation, its…

General Relativity and Quantum Cosmology · Physics 2017-03-13 Sajad Aghapour , Kamal Hajian

Taking the horizon surface of the black hole as a compact membrane and solving the oscillation equation of this membrane by Klein-Gordon equation, we derive the frequencies of oscillation modes of the horizon surface, which are proportional…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zhao Ren , Li Huaifan , Zhang Shengli

We investigate black hole area quantization by imposing Landauer's principle on the discrete entropy change between consecutive area levels. The elementary transition is identified with the entropy cost of erasing one bit of information,…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Jorge Ananias Neto , Ronaldo Thibes

We compare two area spectra proposed in loop quantum gravity in different approaches to compute the entropy of the Schwarzschild black hole. We describe the black hole in general microcanonical and canonical area ensembles for these…

General Relativity and Quantum Cosmology · Physics 2009-11-10 G. Gour , V. Suneeta

We study the statistical entropy of a scalar field on the (1+1)-dimensional Maxwell-dilaton background without an artificial cutoff considering corrections to all orders in the Planck length from a generalized uncertainty principle (GUP) on…

General Relativity and Quantum Cosmology · Physics 2008-02-06 Yong-Wan Kim , Young-Jai Park

By regarding the Hawking-Bekenstein entropy of Schwarzschild black hole horizons as a non-extensive Tsallis entropy, its formal logarithm, the R\'enyi entropy, is considered. The resulting temperature - horizon-radius relation has the same…

General Relativity and Quantum Cosmology · Physics 2013-11-19 Tamás S. Biró , Viktor G. Czinner

We derive black hole entropy based on the near-horizon symmetries of black hole space-times. To derive these symmetries we make use of an $(R,T)$-plane close to a Killing horizon. We identify a set of vector fields that preserves this plane…

General Relativity and Quantum Cosmology · Physics 2014-02-04 Olaf Dreyer , Amit Ghosh , Avirup Ghosh

We compute the Bekenstein-Hawking entropy of near-extremal asymptotically AdS$_4$ electrically charged rotating black holes using three different methods: (i) from the gravity solution, (ii) from the near-horizon Kerr/CFT correspondence and…

High Energy Physics - Theory · Physics 2022-05-02 Marina David , Jun Nian

An elementary introduction is given to the problem of black hole entropy as formulated by Bekenstein and Hawking, based on the so-called Laws of Black Hole Mechanics. Wheeler's `It from Bit' picture is presented as an explanation of…

High Energy Physics - Theory · Physics 2007-05-23 Parthasarathi Majumdar

In the talk different definitions of the black hole entropy are discussed and compared. It is shown that the Bekenstein-Hawking entropy $S^{BH}$ (defined by the response of the free energy of a system containing a black hole on the change…

High Energy Physics - Theory · Physics 2007-05-23 Valeri Frolov

We show, using the tunneling method, that Lovelock black holes Hawking radiate with a perfect blackbody spectrum. This is a new result. Within the semiclassical (WKB) approximation the temperature of the spectrum is given by the…

High Energy Physics - Theory · Physics 2009-11-23 Rabin Banerjee , Sujoy Kumar Modak

We point out that by considering the Hawking-Bekenstein entropy of Schwarzschild black hole horizons as a non-extensive Tsallis entropy, its additive formal logarithm, coinciding with the Renyi entropy, generates an equation of state with…

High Energy Physics - Phenomenology · Physics 2010-11-16 Tamas S. Biro