Electromagnetic field of a charge asymptotically approaching spherically symmetric black hole

We consider a test charged particle falling onto a Schwarzschild black hole and evaluate its electromagnetic field. The Regge-Wheeler equation is solved analytically by approximating the potential barrier with Dirac delta function and rectangular barrier. We show that for asymptotically large time m...

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Bibliographic Details
Published inarXiv.org
Main Authors Komarov, S O, Gorbatsievich, A K, Vereshchagin, G V
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.05.2023
Subjects
Asymptotic properties
Black holes
Charged particles
Delta function
Deposition
Electric fields
Electromagnetic fields
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Astrophysical Phenomena
Potential barriers
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Summary:We consider a test charged particle falling onto a Schwarzschild black hole and evaluate its electromagnetic field. The Regge-Wheeler equation is solved analytically by approximating the potential barrier with Dirac delta function and rectangular barrier. We show that for asymptotically large time measured by a distant observer the electromagnetic field approaches the spherically symmetric electrostatic field exponentially fast. This implies that in the region accessible to a distant observer the initial state of separated charge and Schwarzschild black hole becomes asymptotically indistinguishable from the Reisnner-Nordstr\"om solution. Implications of this result for models with plasma accretion on black holes are discussed.7 a
ISSN:2331-8422
DOI:10.48550/arxiv.2305.18214