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In this paper the entropy of an eternal Schwarzschild black hole is studied in the limit of infinite black hole mass. The problem is addressed from the point of view of both canonical quantum gravity and superstring theory. The entropy per…

High Energy Physics - Theory · Physics 2009-10-07 L. Susskind , J. Uglum

We continue our study of the decoupled wave equation in the exterior of a spherically symmetric, Schwarzschild, black hole. Because null geodesics on the photon sphere orbit the black hole, extra effort must be made to show that the high…

Analysis of PDEs · Mathematics 2007-05-23 P. Blue , A. Soffer

We show how Special Relativity sets tight constraints on the form of possible relations that may exist between the four-momentum of a particle and the wave four-vector. More specifically, we demonstrate that there is just one way, according…

Quantum Physics · Physics 2012-08-02 Fabrizio Logiurato

The area law obeyed by the thermodynamic entropy of black holes is one of the fundamental results relating gravity to statistical mechanics. In this work we provide a derivation of the area law for the quantum relative entropy of the…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Ginestra Bianconi

In the framework of loop quantum cosmology, particularly within the quantum Oppenheimer-Snyder model, the semiclassical Ashtekar-Pawlowski-Singh (APS) metric is associated with a static, spherically symmetric black hole that incorporates…

General Relativity and Quantum Cosmology · Physics 2025-02-18 S. Habib Mazharimousavi

A new kind of duality has been proposed by Carr related to the quantum description of black holes, the so-called Compton/Schwarzschild duality \cite{Carr:2015nqa}. In this context, a new form for a Generalized Uncertainty Principle has…

General Relativity and Quantum Cosmology · Physics 2022-05-20 Marcelo Ferreira da Silva , Carlos A. S. Silva

Classical general relativity predicts that a contracting, spherically symmetric matter system with a large-enough mass will result in the formation of a trapped region whose outer boundary is an apparent horizon where the gravitational…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Ram Brustein , A. J. M. Medved , Hagar Meir

A generalized Newtonian potential is derived from the geodesic motion of test particles in Schwarzschild spacetime. This potential reproduces several relativistic features with higher accuracy than commonly used pseudo-Newtonian approaches.…

High Energy Astrophysical Phenomena · Physics 2013-06-17 Emilio Tejeda , Stephan Rosswog

We study two different ways to analyze the Hawking evaporation of a Schwarzschild-de Sitter black hole. The first one uses the standard approach of surface gravity evaluated at the possible horizons. The second method derives its results…

General Relativity and Quantum Cosmology · Physics 2009-11-18 I. Arraut , D. Batic , M. Nowakowski

A version of the Schwarzschild metric to be valid in microphysics is proposed. The source fluid is anisotropic with $p_{r} = -\rho$ and fluctuating tangential pressures. At large distances with respect to the Compton wavelength associated…

General Relativity and Quantum Cosmology · Physics 2017-07-17 Hristu Culetu

A structure model for black holes is proposed by mean field approximation of gravity. The model, which consists of a charged singularity at the center and quantum fluctuation of fields around the singularity, is similar to the atomic…

High Energy Physics - Theory · Physics 2009-11-11 Yukinori Nagatani

This article explores the motion of massive particles in the gravitational field of a modified gravity (MOG) black hole (BH), characterized by the parameter $\alpha$. Using the Hamiltonian formalism, the geodesic equations and the effective…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Oreeda Shabbir , Mubasher Jamil , Mustapha Azreg-Aïnou

The simplest possible equation for Hawking radiation, and other black hole radiated power is derived in terms of black hole density. Black hole density also leads to the simplest possible model of a gas of elementary constituents confined…

General Physics · Physics 2007-05-23 Mario Rabinowitz

Electromagnetic radiation emitted by a charged particle plunging from slightly below the innermost stable circular orbit into a Schwarzschild black hole is examined. Both even- and odd-parity electromagnetic perturbations are considered.…

General Relativity and Quantum Cosmology · Physics 2018-07-16 Antoine Folacci , Mohamed Ould El Hadj

It is shown that the axial and polar perturbations of the spherically symmetric black hole can be described in a gauge-invariant way. The reduced phase space describing gravitational waves outside of the horizon is described by the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Jacek Jezierski

We investigate, within the framework of Quantum Field Theory in curved space, the correlations across the horizon of a black hole in order to highlight the particle-partner pair creation mechanism at the origin of Hawking radiation. The…

General Relativity and Quantum Cosmology · Physics 2022-02-17 Roberto Balbinot , Alessandro Fabbri

We obtain an approximate solution for the motion of a charged particle around a Schwarzschild black hole immersed in a weak dipolar magnetic field. We focus on eccentric bound orbits in the equatorial plane of the Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Demetrios B. Papadopoulos , Ioannis Contopoulos , Kostas D. Kokkotas , Nikolaos Stergioulas

Here we examine the quantum-mechanical decay of a Schwarzschild-like black hole, formed by gravitational collapse, into almost-flat space-time and weak radiation at a very late time, in order to evaluate quantum amplitudes (not just…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. St. J. Farley , P. D. D'Eath

We study entropic force effects on black holes and photons. We find that application of an entropic analysis restricts the radial change $\Delta R$ of a black hole of radius $R_{\mathrm{H}}$, due to a test particle of a Schwartzchild radius…

High Energy Physics - Theory · Physics 2015-05-18 Xiao-Gang He , Bo-Qiang Ma

In this work, we derive rigorous and universal bounds on the geometric characteristics of black holes in asymptotically flat spacetimes under assumptions that weak energy condition is satisfied. We prove that the event horizon radius, the…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Vitalii Vertogradov