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arXiv · 2305.18214

Electromagnetic field of a charge asymptotically approaching spherically symmetric black hole

Komarov S. O.·Gorbatsievich A. K.·Vereshchagin G. V
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Abstract

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

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Komarov S. O., Gorbatsievich A. K., Vereshchagin G. V. 2023-05-29. Electromagnetic field of a charge asymptotically approaching spherically symmetric black hole. https://doi.org/10.1103/physrevd.108.104056

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