Boundary Conditions for Extremal Black Holes from 2d Gravity

SciPost Phys. 16, 141 (2024) We devise new boundary conditions for the near-horizon geometries of extremal BTZ and Kerr black holes, as well as for the ultra-cold limit of the Kerr-de Sitter black hole. These boundary conditions are obtained as the higher-dimensional uplift of recently proposed boun...

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Hauptverfasser: Detournay, Stéphane, Smoes, Thomas, Wutte, Raphaela
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Sprache:eng
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Zusammenfassung:SciPost Phys. 16, 141 (2024) We devise new boundary conditions for the near-horizon geometries of extremal BTZ and Kerr black holes, as well as for the ultra-cold limit of the Kerr-de Sitter black hole. These boundary conditions are obtained as the higher-dimensional uplift of recently proposed boundary conditions in two-dimensional gravity. Their asymptotic symmetries consist in the semi-direct product of a Virasoro and a current algebra, of which we determine the central extensions.
DOI:10.48550/arxiv.2312.08353