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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

We study dispersive properties for the wave equation in the Schwarzschild space-time. The first result we obtain is a local energy estimate. This is then used, following the spirit of earlier work of Metcalfe-Tataru, in order to establish…

Analysis of PDEs · Mathematics 2015-05-13 Jeremy Marzuola , Jason Metcalfe , Daniel Tataru , Mihai Tohaneanu

We develop a novel technique through spectral decompositions to study the gravitational perturbations of a black hole, without needing to decouple the linearized field equations into master equations and separate their radial and angular…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

We provide simple and accurate analytical expressions for the Regge poles of the Schwarzschild black hole. This is achieved by using third-order WKB approximations to solve the radial wave equations for spins 0, 1 and 2. These results…

General Relativity and Quantum Cosmology · Physics 2010-03-12 Yves Décanini , Antoine Folacci

We present the numerical evolution of a massive test scalar fields around a Schwarzschild space-time. We proceed by using hyperboloidal slices that approach future null infinity, which is the boundary of scalar fields, and also demand the…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-01 A. Cruz-Osorio , F. S. Guzman , F. D. Lora-Clavijo

The vacuum activity generated by the curvature of the Schwarzschild black-hole geometry close to the event horizon is studied for the case of a massless, conformal scalar field. The associated approximation to the unknown, exact propagator…

High Energy Physics - Theory · Physics 2010-04-30 George Tsoupros

Ultrarelativistic collisions of black holes are ideal gedanken experiments to study the nonlinearities of general relativity. In this paper we use semianalytical tools to better understand the nature of these collisions and the emitted…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Emanuele Berti , Vitor Cardoso , Tanja Hinderer , Madalena Lemos , Frans Pretorius , Ulrich Sperhake , Nicolas Yunes

In the present work we study the propagation of a probe minimally coupled scalar field in Einstein-power-Maxwell charged black hole background in (1+2) dimensions. We find analytical expressions for the reflection coefficient as well as for…

High Energy Physics - Theory · Physics 2018-05-09 Grigoris Panotopoulos , Angel Rincon

Black holes have long served as a testing ground for probing theories of gravity and quantum mechanics. Notably, fundamental fields in the neighborhood of black holes exhibit rich phenomena that could yield astrophysical observable…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Guang-Shang Chen , Cheng-Bo Yang , Shou-Shan Bao , Yong Tang , Yue-Liang Wu

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 emission of charged scalar particles from a Schwarzschild black hole. It is shown that these particles can interact with each other through pair annihilation, and as a result, produce photons. These photons make a correction…

General Relativity and Quantum Cosmology · Physics 2022-03-30 Moslem Shafiee

A toy model based upon the $q$-deformation description for studying the radiation spectrum of black hole is proposed. The starting point is to make an attempt to consider the spacetime noncommutativity in the vicinity of black hole horizon.…

High Energy Physics - Theory · Physics 2008-11-26 Xin Zhang

We study the accretion of a Schwarzschild black hole due to spherically symmetric perturbations sourced by a minimally coupled massless scalar field. The backreaction of the black hole to low-frequency ingoing scalar waves is computed…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Marco de Cesare , Roberto Oliveri

We construct approximate analytical solutions to the constraint equations of general relativity for binary black holes of arbitrary mass ratio in quasicircular orbit. We adopt the puncture method to solve the constraint equations in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kenneth A. Dennison , Thomas W. Baumgarte , Harald P. Pfeiffer

In this work we study whether parametrized spherically symmetric black hole solutions in metric theories of gravity can appear to be isospectral when studying perturbations. From a theory agnostic point of view, the test scalar field wave…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Sebastian H. Völkel , Kostas D. Kokkotas

A simple model for an evaporating non-rotating black hole is considered, employing a global time that does not become singular at the putative horizon. The dynamics of a test particle falling radially towards the center of the black hole is…

General Relativity and Quantum Cosmology · Physics 2019-02-26 Klaus Kassner

The success of the moving puncture method for the numerical simulation of black hole systems can be partially explained by the properties of stationary solutions of the 1+log coordinate condition. We compute stationary 1+log slices of the…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Bernd Bruegmann

Recently a method has been developed for relating four dimensional Schwarzschild black holes in M-theory to near-extremal black holes in string theory with four charges, using suitably defined ``boosts'' and T-dualities. We show that this…

High Energy Physics - Theory · Physics 2009-10-31 Sumit R. Das , Samir D. Mathur , P. Ramadevi

In this paper we present a method to study the frequency shift of signals sent from near a Schwarzschild black hole that grows or shrinks through accretion. We construct the numerical solution of Einstein's equations sourced by a spherical…

General Relativity and Quantum Cosmology · Physics 2021-10-18 F. S. Guzman , I. Alvarez-Rios , J. A. Gonzalez

We present the accretion of a phantom scalar field into a black hole for various scalar field potentials in the full non-linear regime. Our results are based on the use of numerical methods and show that for all the cases studied the black…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-17 F. D. Lora-Clavijo , J. A. Gonzalez , F. S. Guzman
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