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The central equations in classical general relativity are the Einstein Field Equations, which accurately describe not only the generation of pseudo-Riemannian curvature by matter and radiation manifesting as gravitational effects, but more…

General Relativity and Quantum Cosmology · Physics 2022-04-07 Godwill Mbiti Kanyolo , Titus Masese

The singularity theorem by Hawking and Penrose qualifies Schwarzschild black-holes as geodesic incomplete space-times. Albeit this is a mathematically rigorous statement, it requires an operational framework that allows to probe the…

High Energy Physics - Theory · Physics 2017-04-04 Stefan Hofmann , Marc Schneider

We investigate non-linear, spherically symmetric solutions to the coupled system of a quintessence field and Einstein gravity. In the presence of a scalar potential, we find regular solutions that to an outside observer very closely…

Astrophysics · Physics 2009-06-23 Timm Krueger , Matthias Neubert , Christof Wetterich

We consider a possibility that the entropy of a Schwarzschild black hole has two different interpretations: The black hole entropy can be understood either as an outcome of a huge degeneracy in the mass eigenstates of the hole, or as a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Makela , P. Repo

We construct a one-loop effective metric describing the evaporation phase of a Schwarzschild black hole in a spherically symmetric null-dust model. This is achieved by quantising the Vaidya solution and by chosing a time dependent quantum…

High Energy Physics - Theory · Physics 2009-01-16 J. Cruz , A. Mikovic , J. Navarro-Salas

A microscopic derivation of the Bekenstein-Hawking entropy for the Schwarzschild black hole was presented earlier by using a non-trivial phase space. It was argued that the Schwarzschild black hole behaves like a 1D quantum mechanical…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Naman Kumar

The transition between (non supersymmetric) quantum string states and Schwarzschild black holes is discussed. This transition occurs when the string coupling $g^2$ (which determines Newton's constant) increases beyond a certain critical…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Thibault Damour

We show that four-dimensional black holes become stable below certain mass when the Einstein-Hilbert action is supplemented with higher-curvature terms. We prove this to be the case for an infinite family of ghost-free theories involving…

High Energy Physics - Theory · Physics 2017-07-26 Pablo Bueno , Pablo A. Cano

Canonical quantization of spherically symmetric initial data which is appropriate to classical interior black hole solutions in four dimensions is carried out and solved exactly without gauge fixing the remaining kinematic Gauss Law…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Chung-Hsien Chou , Chopin Soo , Hoi-Lai Yu

We investigate the behavior of a noncommutative radiating Schwarzschild black hole. It is shown that coordinate noncommutativity cures usual problems encountered in the description of the terminal phase of black hole evaporation. More in…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Piero Nicolini , Anais Smailagic , Euro Spallucci

We derive a class of regular black holes from the proper-time renormalization group approach to asymptotically safe gravity. A central challenge is the robustness of physical predictions to the regularization scheme. We address this by…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Alfio Bonanno , Roman A. Konoplya , Giovanni Oglialoro , Andrea Spina

A gravitational theory is formulated by considering the physical processes underlying relativistic dilation of time and contraction of space. It is shown that the point mass solution of general relativity's field equation - the…

General Relativity and Quantum Cosmology · Physics 2015-08-25 James W. Douglass

We construct a general relativistic model for the accretion flow of a rotating finite cloud of non-interacting particles infalling onto a Schwarzschild black hole. The streamlines start at a spherical shell, where boundary conditions are…

High Energy Astrophysical Phenomena · Physics 2012-12-20 Emilio Tejeda , Sergio Mendoza , John C. Miller

We study a class of analytic models for a dark matter halo surrounding a Schwarzschild black hole sitting at the center of a galaxy, with a variable inner radius $r_{\text{in}}$ at which the density profile of the dark matter halo vanishes.…

General Relativity and Quantum Cosmology · Physics 2025-02-10 Zibo Shen , Anzhong Wang , Shaoyu Yin

Interior volume within the horizon of a black hole is a non-trivial concept which turns out to be very important to explain several issues in the context of quantum nature of black hole. Here we show that the entropy, contained by the {\it…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Bibhas Ranjan Majhi , Saurav Samanta

We derive loop quantum gravity corrections to the Raychaudhuri equation in the interior of a Schwarzschild black hole and near the classical singularity. We show that the resulting effective equation implies defocusing of geodesics due to…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Keagan Blanchette , Saurya Das , Samantha Hergott , Saeed Rastgoo

We continue to study the response of black-hole space-times on the presence of additional strong sources of gravity. Restricting ourselves to static and axially symmetric (electro-)vacuum exact solutions of Einstein's equations, we first…

General Relativity and Quantum Cosmology · Physics 2016-08-23 M. Basovník , O. Semerák

Popular approaches to quantum gravity describe black hole microstates differently and apply different statistics to count them. Since the relationship between the approaches is not clear, this obscures the role of statistics in calculating…

General Relativity and Quantum Cosmology · Physics 2009-04-12 Cenalo Vaz , L. C. R. Wijewardhana

We prove in this paper the linear stability of the celebrated Schwarzschild family of black holes in general relativity: Solutions to the linearisation of the Einstein vacuum equations around a Schwarzschild metric arising from regular…

General Relativity and Quantum Cosmology · Physics 2019-08-27 Mihalis Dafermos , Gustav Holzegel , Igor Rodnianski

The canonical quantization of a Schwarzschild black hole yields a picture of the black hole that is shown to be equivalent to a collection of oscillators whose density of levels is commensurate with that of the statistical bootstrap model.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Cenalo Vaz
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