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Linear field perturbations of a black hole are described by the Green function of the wave equation that they obey. After Fourier decomposing the Green function, its two natural contributions are given by poles (quasinormal modes) and a…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Marc Casals , Adrian C. Ottewill

By considering the analytic, static and spherically symmetric solution for the Schwarzschild black holes immersed in dark matter fluid with non-zero tangential pressure \cite{Jusufi:2022jxu} and Hernquist-type density profiles…

General Relativity and Quantum Cosmology · Physics 2025-03-07 Mohaddese Heydari-Fard , Malihe Heydari-Fard , Nematollah Riazi

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

The ``moving puncture'' technique has led to dramatic advancements in the numerical simulations of binary black holes. Hannam et.al. have recently demonstrated that, for suitable gauge conditions commonly employed in moving puncture…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas W. Baumgarte , Stephen G. Naculich

We consider a series of distorted black hole initial data sets, and develop techniques to evolve them using the linearized equations of motion for the gravitational wave perturbations on a Schwarzschild background. We apply this to 2D and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gabrielle Allen , Karen Camarda , Edward Seidel

We study a quantum-corrected Schwarzschild black hole proposed recently in Loop Quantum Gravity. Prompted by the fact that corrections to the innermost stable circular orbit of Schwarzschild diverge, we investigate timelike and null radial…

General Relativity and Quantum Cosmology · Physics 2020-08-04 Valerio Faraoni , Andrea Giusti

We prove sharp pointwise $t^{-3}$ decay for scalar linear perturbations of a Schwarzschild black hole without symmetry assumptions on the data. We also consider electromagnetic and gravitational perturbations for which we obtain decay rates…

Analysis of PDEs · Mathematics 2012-02-06 Roland Donninger , Wilhelm Schlag , Avy Soffer

This article outlines our derivation of the second order perturbations to a Schwarzschild black hole, highlighting our use of, and necessary reliance on, computer algebra. The particular perturbation scenario that is presented here is the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 George Davies

Schwarzschild black holes are expected to emerge as the end states of the classical gravitational collapse from non-singular configurations. After integrable curvature singularities appear, the interior geometry can be modelled to exhibit a…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Roberto Casadio , Andrea Giusti , Alexander Kamenshchik , Jorge Ovalle

We obtain electrically charged black hole solutions of the Einstein equations in arbitrary dimensions with a nonlinear electrodynamics source. The matter source is deriving from a Lagrangian given by an arbitrary power of the Maxwell…

High Energy Physics - Theory · Physics 2008-11-26 Mokhtar Hassaine , Cristian Martinez

The phenomenology of a radiating Schwarzschild black hole is analyzed in a noncommutative spacetime. It is shown that noncommutativity does not depend on the intensity of the curvature. Thus we legitimately introduce noncommutativity in the…

High Energy Physics - Theory · Physics 2011-02-22 Piero Nicolini

We consider the Schwarzschild black hole and show how, in a theory with limiting curvature, the physical singularity "inside it" is removed. The resulting spacetime is geodesically complete. The internal structure of this nonsingular black…

General Relativity and Quantum Cosmology · Physics 2017-04-18 Ali H. Chamseddine , Viatcheslav Mukhanov

In this paper we present a spectral decomposition of solutions to relativistic wave equations described on horizon penetrating hyperboloidal slices within a given Schwarzschild-black-hole background. The wave equa- tion in question is…

General Relativity and Quantum Cosmology · Physics 2016-07-28 Marcus Ansorg , Rodrigo Panosso Macedo

This paper studies the interpretation of physics near a Schwarzschild black hole. A scenario for creation and growth is proposed that avoids the conundrum of information loss. In this picture the horizon recedes as it is approached and has…

General Relativity and Quantum Cosmology · Physics 2014-05-27 Christian Fronsdal

The computation of the gravitational radiation emitted by a particle falling into a Schwarzschild black hole is a classic problem studied already in the 1970s. Here we present a detailed numerical analysis of the case of radial infall…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Ermis Mitsou

Excision techniques are used in order to deal with black holes in numerical simulations of Einstein equations and consist in removing a topological sphere containing the physical singularity from the numerical domain, applying instead…

General Relativity and Quantum Cosmology · Physics 2014-08-27 Isabel Cordero-Carrión , Nicolas Vasset , Jérôme Novak , José Luis Jaramillo

We find an exact black hole solution with a minimally coupled scalar field. The corresponding spacetime has two horizons and one of the them is the black hole event horizon and the other is the cosmic horizon. In this sense, the solution is…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Shuang Yu , Changjun Gao

It is shown that in the Schwarzschild background there exists direct counterpart of the Ba\~{n}ados-Silk-West effect for spinning particles. This means that if two particles collide near the black hole horizon, their energy in the centre of…

General Relativity and Quantum Cosmology · Physics 2016-06-22 O. B. Zaslavskii

The Schwarzschild and Reissner-Nordstrom solutions to Einstein's equations describe space- times which contain spherically symmetric black holes. We consider solutions to the linear wave equation in the exterior of a fixed black hole space-…

Analysis of PDEs · Mathematics 2015-06-26 P. Blue , A. Soffer

We revisit our earlier work and investigate the bound state perturbations in the interior of the Schwarzschild black hole. The bound sates are defined as the perturbations in the interior of the black hole with an imaginary spectrum which…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Hassan Firouzjahi
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