Recovery of Black Hole Mass from a Single Quasinormal Mode

Gunther Uhlmann; Yiran Wang

doi:10.1007/s00220-023-04666-0

Recovery of Black Hole Mass from a Single Quasinormal Mode

Gunther Uhlmann^*, Yiran Wang

^*Corresponding author for this work

HKUST Jockey Club Institute for Advanced Study

Research output: Contribution to journal › Journal Article › peer-review

Abstract

We study the determination of the mass of a de Sitter–Schwarzschild black hole from one quasinormal mode. We prove a local uniqueness result with a Hölder type stability estimate.

Original language	English
Pages (from-to)	925-936
Number of pages	12
Journal	Communications in Mathematical Physics
Volume	401
Issue number	1
DOIs	https://doi.org/10.1007/s00220-023-04666-0
Publication status	Published - Jul 2023

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© 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

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title = "Recovery of Black Hole Mass from a Single Quasinormal Mode",

abstract = "We study the determination of the mass of a de Sitter–Schwarzschild black hole from one quasinormal mode. We prove a local uniqueness result with a H{\"o}lder type stability estimate.",

author = "Gunther Uhlmann and Yiran Wang",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

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AB - We study the determination of the mass of a de Sitter–Schwarzschild black hole from one quasinormal mode. We prove a local uniqueness result with a Hölder type stability estimate.

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Recovery of Black Hole Mass from a Single Quasinormal Mode

Abstract

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