Precise late-time asymptotics of scalar field in the interior of a subextreme Kerr black hole and its application in Strong Cosmic Censorship conjecture

Ma, Siyuan; Zhang, Lin

doi:10.1090/tran/8957

Precise late-time asymptotics of scalar field in the interior of a subextreme Kerr black hole and its application in Strong Cosmic Censorship conjecture
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by Siyuan Ma and Lin Zhang;

Trans. Amer. Math. Soc. 376 (2023), 7815-7856

DOI: https://doi.org/10.1090/tran/8957

Published electronically: September 1, 2023

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Abstract:

In this work, we compute the precise late-time asymptotics for the scalar field in the interior of a non-static subextreme Kerr black hole, based on recent progress on deriving its precise asymptotics in the Kerr exterior region. This provides a new proof of the generic $H^1_{\text {loc}}$-inextendibility of the Kerr Cauchy horizon against scalar perturbations that was first shown by Luk–Sbierski [J. Funct. Anal. 271 (2016), pp. 1948–1995]. The analogous results in Reissner–Nordström spacetimes are also discussed.

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