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The classic black hole mechanics and thermodynamics are formulated for stationary black holes with event horizons. Alternative theories of gravity of interest for cosmology contain a built-in time-dependent cosmological "constant" and black…

General Relativity and Quantum Cosmology · Physics 2018-10-12 Valerio Faraoni

We apply the tunnelling method for the emission and absorption of Elko particles in the event horizon of a black string solution. We show that Elko particles are emitted at the expected Hawking temperature from black strings, but with a…

High Energy Physics - Theory · Physics 2014-08-25 Roldao da Rocha , J. M. Hoff da Silva

We study the evolution of horizons of black holes in the $1+1+2$ covariant setting and investigate various properties intrinsic to the geometry of the foliation surfaces of these horizons. This is done by interpreting formulations of…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Abbas Sherif , Rituparno Goswami , Sunil Maharaj

In the recent paper arXiv:0906.1725 it has been guessed that a ``correct'' treatment of the semi-classical tunneling based on the Hamilton-Jacobi equation gives the standard Hawking formula, contrary to was asserted in my previous paper…

General Relativity and Quantum Cosmology · Physics 2009-07-14 Marco Pizzi

A simple quantum mechanical model of $N$ free scalar fields interacting with a dynamical moving mirror is formulated and shown to be equivalent to two-dimensional dilaton gravity. We derive the semi-classical dynamics of this system, by…

High Energy Physics - Theory · Physics 2010-11-01 Tze-Dan Chung , Herman Verlinde

We explore the Lagrangian equation in the background of generalized uncertainty principle. The tunneling radiation through the black ring horizon is observed. We investigated the tunneling radiation through the Hamilton-Jacobi method for…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Riasat Ali , Kazuharu Bamba , Muhammad Asgher , Syed Asif Ali Shah

The behavior of black hole horizons under extreme conditions-such as near collapse or phase transitions-remains less understood, particularly in the context of soft hair and Aretakis instabilities. We show that the breakdown of conformal…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Pradosh Keshav MV , Arun Kenath

We derive novel black hole solutions in a modified gravity theory, namely the Hu-Sawicki model of $f(R)$ gravity. After obtaining the black hole solution, we study the horizon radius of the black hole from the metric and then analyse the…

General Relativity and Quantum Cosmology · Physics 2024-10-04 Ronit Karmakar , Umananda Dev Goswami

It was proposed in \cite{Chu:2024qil} that a quantum black hole can be described by a quantum space configuration of a fuzzy sphere together with a half-filled Fermi sea. In this paper we propose that the tunneling of the fuzzy sphere…

High Energy Physics - Theory · Physics 2026-03-31 Chong-Sun Chu

The tunneling formalism in the Hamilton-Jacobi approach is adopted to study Hawking radiation of massless Dirac particles from spherically symmetric black hole spacetimes incorporating the effects of the generalized uncertainty principle.…

General Relativity and Quantum Cosmology · Physics 2016-01-05 Sunandan Gangopadhyay

String theory and ``quantum geometry'' have recently offered independent statistical mechanical explanations of black hole thermodynamics. But these successes raise a new problem: why should models with such different microscopic degrees of…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

We employ the recently proposed formalism of the "horizon wave-function" to investigate the emergence of a horizon in models of black holes as Bose-Einstein condensates of gravitons. We start from the Klein-Gordon equation for a massless…

High Energy Physics - Theory · Physics 2014-10-29 Roberto Casadio , Andrea Giugno , Octavian Micu , Alessio Orlandi

We show that the first law of the black hole thermodynamics can lead to the tunneling probability through the quantum horizon by calculating the change of entropy with the quantum gravity correction and the change of surface gravity is…

High Energy Physics - Theory · Physics 2009-01-06 Baocheng Zhang , Qing-yu Cai , Ming-sheng Zhan

The paper deals with anisotropic spherically symmetric Lemaitre-Tolman-Bondi model of the universe bounded by the apparent horizon. Using Hamilton-Jacobi method for both massive and massless test particles, we are able to show that the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Ritabrata Biswas , Nairwita Mazumder , Subenoy Chakraborty

The thermodynamics of black holes is shown to be directly induced by their near-horizon conformal invariance. This behavior is exhibited using a scalar field as a probe of the black hole gravitational background, for a general class of…

High Energy Physics - Theory · Physics 2009-09-29 Horacio E. Camblong , Carlos R. Ordonez

We study quantum tunneling of scalar particles from black strings. For this purpose we apply WKB approximation and Hamilton-Jacobi method to solve the Klein-Gordon equation for outgoing trajectories. We find the tunneling probability of…

High Energy Physics - Theory · Physics 2015-05-30 H. Gohar , K. Saifullah

On the basis of horizon thermodynamics we study the thermodynamic stability of black holes constructed in general relativity and Gauss-Bonnet gravity. In the framework of horizon thermodynamics there are only five thermodynamic variables…

General Relativity and Quantum Cosmology · Physics 2015-11-12 Meng-Sen Ma , Ren Zhao

Based on the definition of the apparent horizon in a general two-dimensional dilaton gravity theory, we analyze the tunnelling phenomenon of the apparent horizon by using Hamilton-Jacobi method. In this theory the definition of the horizon…

High Energy Physics - Theory · Physics 2017-10-11 Li-Ming Cao , Xiao-Zhu Jiang , Yuxuan Peng

We use the Legendre invariant formalism of geometrothermodynamics to investigate the geometric properties of the equilibrium space of a spherically symmetric phantom black hole with electric charge and dilaton. We find that at certain…

General Relativity and Quantum Cosmology · Physics 2016-08-24 H. Quevedo , M. N. Quevedo , A. Sanchez

Hamilton-Jacobi ansatz is used to analyze boson charged particles tunneling in Rastall gravity Kerr- Newman black hole (BH) surrounded by perfect fluid matter through the horizon. The geometrical BH parameters are observed, how these are…

General Relativity and Quantum Cosmology · Physics 2022-06-06 Riasat Ali , Kazuharu Bamba , Syed Asif Ali Shah , Muhammad Junaid Saleem
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