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  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, S., & Zhang, L. (2023). Precise late-time asymptotics of scalar field in the interior of a subextreme Kerr black hole and its application in Strong Cosmic Censorship conjecture. Transactions of the American Mathematical Society, 376, 7815-7856. doi:10.1090/tran/8957.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000D-D6A6-6 Version Permalink: https://hdl.handle.net/21.11116/0000-000D-D6A9-3
Genre: Journal Article

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 Creators:
Ma, Siyuan1, Author           
Zhang, Lin, Author
Affiliations:
1Geometry and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_3214076              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Mathematics, Analysis of PDEs, math.AP,
 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 is first shown by Luk--Sbierski (J. Func. Anal., 2016). The
analogous results in Reissner--Nordstr\"{o}m spacetimes are also discussed.

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 Dates: 2022-08-182023-07-032023
 Publication Status: Issued
 Pages: Compatible with the version that will appear in Transaction of the AMS
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 2208.08702
DOI: 10.1090/tran/8957
 Degree: -

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Title: Transactions of the American Mathematical Society
Source Genre: Journal
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Publ. Info: -
Pages: - Volume / Issue: 376 Sequence Number: - Start / End Page: 7815 - 7856 Identifier: -