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Corrections to the Aretakis type behaviour of the metric due to an infalling particle

We consider an extremal Reissner-Nordstr\"{o}m black hole perturbed by a neutral massive point particle, which falls in radially. We study the linear metric perturbation in the vicinity of the black hole and find that the \(l=0\) and \(l=1\) spherical modes of the metric oscillate rather than d...

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Bibliographic Details
Published in:arXiv.org 2019-01
Main Authors: Akhmedov, E T, Anempodistov, P A, Ivanova, I D
Format: Article
Language:English
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Summary:We consider an extremal Reissner-Nordstr\"{o}m black hole perturbed by a neutral massive point particle, which falls in radially. We study the linear metric perturbation in the vicinity of the black hole and find that the \(l=0\) and \(l=1\) spherical modes of the metric oscillate rather than decay.
ISSN:2331-8422
DOI:10.48550/arxiv.1811.01371