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We propose a simple procedure for evaluating the main thermodynamical attributes of a Schwarzschild's black hole: Bekenstein-Hawking entropy, Hawking's temperature and Bekenstein's quantization of the surface area. We make use of the…

General Relativity and Quantum Cosmology · Physics 2009-11-13 V. Pankovic , M. Predojevic , P. Grujic

In this work we study the Schwarzschild metric in the context of canonical quantum gravity inside the horizon, close of horizon and near the black hole singularity. Using this standard quantization procedure, we show that the horizon is…

General Relativity and Quantum Cosmology · Physics 2020-01-16 Laysa G. Martins , K. Luz-Burgoa , José A. C. Nogales

Regular black holes, free of central singularities, provide an ideal laboratory for probing the geometric structure of spacetime. The global structure of some regular black holes, e.g. Hayward black hole, features an event horizon and a…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Caiying Shao , Jun-Qi Guo , Yu Tian , Hongbao Zhang

The Schr\"odinger equation of the Schwarzschild black hole (BH) shows that a BH is composed of a particle, the "electron", interacting with a central field, the "nucleus". Via de Broglie's hypothesis, one interprets the "electron" in terms…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Christian Corda

We review some properties of black hole structures appearing in gravity with a massless scalar field, with both minimal and nonminimal coupling. The main properties of the resulting cold black holes are described. The study of black holes…

General Relativity and Quantum Cosmology · Physics 2016-08-17 Kirill A. Bronnikov , Júlio C. Fabris , Denis C. Rodrigues

New, simple models of ``black hole interiors'', namely spherically symmetric solutions of the Einstein field equations in matter matching the Schwarzschild vacuum at spacelike hypersurfaces ``R<2M'' are constructed. The models satisfy the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Giulio Magli

Following Barrow's idea of fractal black hole horizon, we re-derive black hole entropy of static spherically symmetric black holes. When a black hole absorbs matter its horizon area will increase. Given the spherically fractal structure, we…

General Relativity and Quantum Cosmology · Physics 2022-05-27 Li-Hua Wang , Meng-Sen Ma

Initial data for the spherically symmetric Einstein-Vlasov system is constructed whose past evolution is regular and whose future evolution contains a black hole. This is the first example of initial data with these properties for the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Håkan Andréasson

Recent results concerning the internal structure of static spherically-symmetric non-Abelian black holes in the Einstein-Yang-Mills (EYM) theory and its generalizations including scalar fields are reviewed and discussed with an emphasis on…

High Energy Physics - Theory · Physics 2007-05-23 D. V. Gal'tsov , E. E. Donets , M. Yu. Zotov

Black holes, as classical solutions of General Relativity, are expected to exhibit quantum properties near their horizons. In this paper, we examine the behavior of quantum particles near the Schwarzschild horizon by solving the…

General Physics · Physics 2025-10-07 Merab Gogberashvili , Tinatin Tsiskaridze

Based on recent ideas, we propose a framework for the description of black holes in terms of constituent graviton degrees of freedom. Within this formalism a large black hole can be understood as a bound state of N longitudinal gravitons.…

High Energy Physics - Theory · Physics 2015-05-20 Lukas Gruending , Stefan Hofmann , Sophia Müller , Tehseen Rug

In this paper we calculate modifications to the Schwarzschild solution by using a semiclassical analysis of loop quantum black hole. We obtain a metric inside the event horizon that coincides with the Schwarzschild solution near the horizon…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Leonardo Modesto

The modern notion of a black hole singularity is considered with reference to the Schwarzschild solution to Einstein's field equations of general relativity. A brief derivation of both the original and the modern line elements is given. The…

General Physics · Physics 2008-06-09 M. Anyon , J. Dunning-Davies

We consider static black holes in Einstein gravity and study parameters characterizing the black hole size, namely the radii of the horizon $R_+$, photon sphere $R_{\rm ph}$ and black hole shadow $R_{\rm sh}$. We find a sequence of…

General Relativity and Quantum Cosmology · Physics 2020-03-04 H. Lu , Hong-Da Lyu

It is believed that there may have been a large number of black holes formed in the very early universe. These would have quantised masses. A charged ``elementary black hole'' (with the minimum possible mass) can capture electrons, protons…

General Relativity and Quantum Cosmology · Physics 2009-08-18 V. V. Flambaum , J. C. Berengut

A brief reference to the two Schwarzschild solutions and what Petrov had to say about them is given. Comments on how the Schwarzschild vacuum solution describes a black hole are also provided. Then we compare the properties, differences and…

General Relativity and Quantum Cosmology · Physics 2012-11-09 José P. S. Lemos

We show that if the total internal energy of a black hole is constructed as the sum of $N$ photons all having a fixed wavelength chosen to scale with the Schwarzschild radius as $\lambda=\alpha R_{s}$, then $N$ will scale with $R_{s}^{2}$.…

General Relativity and Quantum Cosmology · Physics 2016-08-31 X. Hernandez , C. S. Lopez-Monsalvo , S. Mendoza , R. A. Sussman

This paper is concerned with several not-quantum aspects of black holes, with emphasis on theoretical and mathematical issues related to numerical modeling of black hole space-times. Part of the material has a review character, but some new…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piotr T. Chrusciel

We study the excitations of a massive Schwarzschild black hole of mass M resulting from the capture of infalling matter described by a massless scalar field. The near-horizon dynamics of this system is governed by a Hamiltonian which is…

High Energy Physics - Theory · Physics 2008-11-26 Kumar S. Gupta , Siddhartha Sen

We consider spherically symmetric black holes with minimally coupled scalar fields and concentrate our attention on asymptotically flat self-gravitating configurations having the event horizons located at radii much smaller than $2m$. We…

General Relativity and Quantum Cosmology · Physics 2019-12-10 I. M. Potashov , Ju. V. Tchemarina , A. N. Tsirulev