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For a Kerr black hole perturbed by a particle on the "corotating" circular orbit (angular velocity equal to that of the unperturbed event horizon), the black hole remains in equilibrium in the sense that the perturbed event horizon is a…

General Relativity and Quantum Cosmology · Physics 2013-08-26 Samuel E. Gralla , Alexandre Le Tiec

In this work we determine that the Hawking temperature of black holes possesses a purely topological nature. We find a very simple but powerful formula, based on a topological invariant known as the Euler characteristic, which is able to…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Charles W. Robson , Leone Di Mauro Villari , Fabio Biancalana

Black holes are the fascinating objects in the universe. They represent extreme deformations in spacetime geometry. Here, we construct f(P) gravity and the first example of static-spherically symmetric black hole solution in f(P) gravity…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Aniruddha Ghosh , Ujjal Debnath

The coupling of a string to gravity allows for Schwarzschild black holes whose entropy to area relation is $S=(A/4)(1-4\mu)$, where $\mu$ is the string tension. This departure from the A/4 universality results from a string instanton…

High Energy Physics - Theory · Physics 2009-10-28 Francois Englert , Laurent Houart , Paul Windey

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

We investigate a microscopic black hole in case of modified generalized uncertainty principle with a minimal uncertainty in position as well as in momentum. We calculate thermodynamical functions of a Schwarzschild black hole such as…

General Relativity and Quantum Cosmology · Physics 2015-06-05 M. M. Stetsko

A perturbed black hole has characteristic frequencies (quasi-normal modes). Here I apply a quantum measurement analysis of the quasi-normal mode frequency in the limit of high damping. It turns out that a measurement of this mode…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Claus Kiefer

In the context of a debate on the correct expression of the Hawking temperature of an expanding cosmological black hole, we show that the correct expression in terms of the Hawking-Hayward quasi-local energy m of the hole is T=1/(8\pi…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Valerio Faraoni

In this paper we derive Schwarzschild and Kerr - like noncommutative acoustic black hole metrics in the (3+1)-dimensional noncommutative Abelian Higgs model. We have found that the changing in the Hawking temperature T_H due to spacetime…

High Energy Physics - Theory · Physics 2012-01-25 M. A. Anacleto , F. A. Brito , E. Passos

A quantum Schwarzschild black hole is described, at the mini super spacetime level, by a non-singular wave packet composed of plane wave eigenstates of the momentum Dirac-conjugate to the mass operator. The entropy of the mass spectrum…

General Relativity and Quantum Cosmology · Physics 2014-08-11 Aharon Davidson , Ben Yellin

We have investigated the black hole thermodynamics and the phase transition for renormalized group improved asymptotically safe Schwarzschild black hole. This geometry takes into account the quantum gravitational correction in the running…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Rituparna Mandal , Sunandan Gangopadhyay

The Hawking temperature for the Schwarzschild black hole is divergent when the mass of the black hole vanishes; however the corresponding geometry becomes the Minkowski spacetime whose intrinsic temperature is zero. In connection with this…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Myungseok Eune , Yongwan Gim , Wontae Kim

It has been observed that for black holes in certain family of Horndeski gravity theories Wald's entropy formula does not lead to the correct first law for black hole thermodynamics. For this family of Horndeski theories speeds of…

General Relativity and Quantum Cosmology · Physics 2020-12-22 K. Hajian , S. Liberati , M. M. Sheikh-Jabbari , M. H. Vahidinia

We show that thermodynamics for an asymptotically flat Schwarzschild black hole leads to a force of magnitude $c^4/(2G)$. This remains true if one considers the simplest form of correction due to the generalized uncertainty principle. We…

General Relativity and Quantum Cosmology · Physics 2018-09-18 Yen Chin Ong

Microscopic black holes explode with their temperature varying inversely as their mass. Such explosions would lead to the highest temperatures in the present universe, all the way to the Planck energy. The possibility that a…

Astrophysics · Physics 2007-05-23 Joseph I Kapusta

The generalized second law states the total entropy of any closed system as the universe cannot decrease if we include black hole entropy. From the point of view of an asymptotic observer, a black hole can be described at late time as an…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Antoine Rignon-Bret

Attention is paid to the fact that temperature of a classical black hole can be derived from the extremality condition of its free energy with respect to variation of the mass of a hole. For a quantum Schwarzschild black hole evaporating…

High Energy Physics - Theory · Physics 2009-12-30 D. V. Fursaev

In the present paper, we compute the Euclidean action of a generic system consisting of $N$ arbitrary Kerr-Newman black holes located on the symmetry axis and separated from each other by massless struts. This allows us to introduce the…

General Relativity and Quantum Cosmology · Physics 2022-01-12 C. J. Ramírez-Valdez , H. García-Compeán , V. S. Manko

A local Hawking temperature was recently derived for any future outer trapping horizon in spherical symmetry, using a Hamilton-Jacobi tunneling method, and is given by a dynamical surface gravity as defined geometrically. Descriptions are…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Sean A. Hayward , R. Di Criscienzo , M. Nadalini , L. Vanzo , S. Zerbini

In this work, generalizing our previous results, we determine in an original and the simplest way three most important thermodynamical characteristics (Bekenstein-Hawking entropy, Bekenstein quantization of the entropy or (outer) horizon…

General Relativity and Quantum Cosmology · Physics 2008-03-06 Vladan Pankovic , Jovan Ivanovic , Milan Predojevic , Aleksandar-Meda Ivanovic