Linear waves in the interior of extremal black holes I

Dejan Gajic

Linear waves in the interior of extremal black holes I

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arxiv 1509.06568 v1 pith:AOKB7VR4 submitted 2015-09-22 gr-qc math.AP

Dejan Gajic This is my paper · ORCID

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keywords blackholescauchyenergyextremalhorizoninteriorlinear

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We consider solutions to the linear wave equation in the interior region of extremal Reissner-Nordstr\"om black holes. We show that, under suitable assumptions on the initial data, the solutions can be extended continuously beyond the Cauchy horizon and moreover, that their local energy is finite. This result is in contrast with previously established results for subextremal Reissner-Nordstr\"om black holes, where the local energy was shown to generically blow up at the Cauchy horizon.

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Boundedness of massless scalar waves on Kerr interior backgrounds
gr-qc 2019-08 conditional novelty 7.0 of 10

On subextremal Kerr backgrounds, solutions of the scalar wave equation arising from sufficiently regular localized data are uniformly bounded and extend continuously to the Cauchy horizon.

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