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Boundary conditions for extremal black holes from 2d gravity

Detournay, Stéphane (ORCID:0000000175297978)·Smoes, Thomas (ORCID:0009000671828640)·Wutte, Raphaela (ORCID:0000000213461047)
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Abstract

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.

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Detournay, Stéphane (ORCID:0000000175297978), Smoes, Thomas (ORCID:0009000671828640), Wutte, Raphaela (ORCID:0000000213461047). 2024-05-30. Boundary conditions for extremal black holes from 2d gravity. https://doi.org/10.21468/scipostphys.16.5.141

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