Late-time decay of coupled electromagnetic and gravitational perturbations outside an extremal charged black hole

Abstract

In this paper we employ the results of a previous paper on the late-time decay of scalar-field perturbations of an extreme Reissner-Nordstrom black hole, in order to find the late-time decay of coupled electromagnetic and gravitational perturbations of this black hole. We explicitly write the late-time tails of Moncrief's gauge invariant variables and of the perturbations of the metric tensor and the electromagnetic field tensor in the Regge-Wheeler gauge. We discuss some of the consequences of the results and relations to previous works.

arXiv comment12 pages. Corrected typos

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• Exact Gravitational Wave Signatures from Colliding Extreme Black Holes
• Near-$Ad{S}_2$ perturbations and the connection with near-extreme Reissner-Nordstrom