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In this paper, we successfully derive the Bekenstein-Hawking entropy for Schwarzschild black holes in various dimensions by using a non-trivial phase space. It is appealing to notice that the thermodynamics of a Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2020-05-05 Yong Xiao

Using the Schwarzschild metric as a rudimentary toy model, we pedagogically revisit the curious prediction that the mass of a classical black hole in a constant temperature thermal bath diverges in a finite amount of time. We study in…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Aurélien Barrau , Killian Martineau , Cyril Renevey

By using a quasi-stationary approach, we consider the mass evolution of Schwarzschild black holes in the presence of a nonminimally coupled cosmological scalar field. The mass evolution equation is analytically solved for generic coupling,…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Manuela G. Rodrigues , Alberto Saa

The study of physical effects of quatum fields in black hole spacetimes, which is related to questions such as the validity of the strong cosmic censorship conjecture, requires a Hadamard state describing the physical situation. Here, we…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Christiane Klein

In this talk I show how to canonically quantize a massless scalar field in the background of a Schwarzschild black hole in Lema\^itre coordinates and then present a simplified derivation of Hawking radiation based upon this procedure. The…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Marvin Weinstein

The entanglement of the coupled massive scalar field in the spacetime of a Garfinkle-Horowitz-Strominger(GHS) dilaton black hole has been investigated. It is found that the entanglement does not depend on the mass of the particle and the…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Jieci Wang , Qiyuan Pan , Songbai Chen , Jiliang Jing

The leading order correction to the metric of a Schwarzschild black hole, due to the backreaction of infalling fermionic matter fields, is shown to produce a shift of the event horizon such that particles that would constitute Hawking…

High Energy Physics - Theory · Physics 2009-10-30 Arundhati Dasgupta , Parthasarathi Majumdar

We analyze here the final fate of complete gravitational collapse of a massless scalar field within general relativity. A class of dynamical solutions with initial data close to the Friedmann-Lemaitre-Robertson-Walker (FLRW) collapse model…

General Relativity and Quantum Cosmology · Physics 2012-02-29 Rituparno Goswami , Pankaj S. Joshi , Daniele Malafarina

The interior of Schwarzschild black hole is quantized by the method of loop quantum gravity. The Hamiltonian constraint is solved and the physical Hilbert space is obtained in the model. The properties of a Dirac observable corresponding to…

General Relativity and Quantum Cosmology · Physics 2021-11-04 Cong Zhang , Yongge Ma , Shupeng Song , Xiangdong Zhang

Solution for a stationary spherically symmetric accretion of the relativistic perfect fluid with an equation of state p(rho) onto the Schwarzschild black hole is presented. This solution is a generalization of Michel solution and applicable…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. Babichev , V. Dokuchaev , Y. Eroshenko

We consider the explicit asymptotic profile of massless Dirac fields on a Schwarzschild background. First, we prove for the spin $s=\pm \frac{1}{2}$ components of the Dirac field a uniform bound of a positive definite energy and an…

Analysis of PDEs · Mathematics 2022-02-10 Siyuan Ma , Lin Zhang

To obtain fermionic quasinormal modes, the Dirac equation for two types of black holes is investigated. For the first type of black hole, the quasinormal modes have continuous spectrum with negative imaginary part that provides the…

High Energy Physics - Theory · Physics 2017-08-02 M. M. Stetsko

We show the appearance of geometric phase in a Dirac particle traversing in non-relativistic limit in a time-independent gravitational field. This turns out to be similar to the one originally described as a geometric phase in magnetic…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Tanuman Ghosh , Banibrata Mukhopadhyay

In this paper, we study the existence of (quasi)bound states in two spacetime geometries describing Schwarzschild and Reissner-Nordstr\"om black holes. For obtaining this type of states we search for discrete quantum modes of the massive…

General Relativity and Quantum Cosmology · Physics 2020-02-27 Ciprian A. Sporea

Recently, it was proposed that there must be either large violation of the additivity conjecture or a set of disentangled states of the black hole in the AdS/CFT correspondence. In this paper, we study the additivity conjecture for quantum…

High Energy Physics - Theory · Physics 2022-07-06 Yoshinori Matsuo

The intermediate and late-time behaviour of a massive Dirac field in the background of static spherically symmetric black hole solutions is investigated. The intermediate asymptotic behaviour of a massive Dirac field depends on the mass…

High Energy Physics - Theory · Physics 2008-11-26 Gary W. Gibbons , Marek Rogatko

We show that there exist steady states of the massless Einstein-Vlasov system which surround a Schwarzschild black hole. The steady states are (thick) shells with finite mass and compact support. Furthermore we prove that an arbitrary…

General Relativity and Quantum Cosmology · Physics 2024-02-19 Håkan Andréasson

The Arnowitt-Deser-Misner formalism is used to derive variations of mass, angular momentum and canonical energy for Einstein-Maxwell {\it dark matter} gravity in which the auxiliary gauge field coupled via kinetic mixing term to the…

High Energy Physics - Theory · Physics 2020-10-28 Marek Rogatko

In this paper we investigate the perturbations by a massless Dirac spinor of a Born-Infeld black hole. The decay rates of the spinor field which is given by the quasinormal mode frequencies are computed using the sixth order WKB…

High Energy Physics - Theory · Physics 2012-06-20 Sharmanthie Fernando

Nondecaying bound states of elementary spin-half particles are validated and calculated numerically for the Schwarzschild gravitational field using a self-conjugate Hamiltonian with a flat scalar product for any value of the gravitational…

General Relativity and Quantum Cosmology · Physics 2013-07-11 M. A. Vronsky , M. V. Gorbatenko , N. S. Kolesnikov , V. P. Neznamov , E. Yu. Popov , I. I. Safronov