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Boundary Conditions for Extremal Black Holes from 2d Gravity

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arxiv 2312.08353 v3 pith:UROG2QHP submitted 2023-12-13 hep-th gr-qc

Stéphane Detournay , Thomas Smoes , Raphaela Wutte This is my paper · ORCID
classification hep-thgr-qc
keywords boundaryconditionsblackextremalgravityholesalgebraasymptotic
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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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Cited by 4 Pith papers

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  1. Gravitational dynamics of near-extreme Kerr (Anti-)de Sitter black holes

    hep-th 2025-05 conditional novelty 6.0 of 10

    Near-extremal Kerr-dS4 and Kerr-AdS4 black holes admit a sector of metric perturbations whose linearized dynamics is the JT equation, with a Schwarzian effective action for the AdS case.

  2. Modular matrices of 2d Carrollian and warped CFTs

    hep-th 2025-01 conditional novelty 6.0 of 10

    Explicit modular S and T matrices are derived for Carrollian (bms3) and warped CFT characters, with checks of S squared and unitarity.

  3. Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity

    hep-th 2024-12 conditional novelty 6.0 of 10

    Near-horizon extremal BTZ black holes in NMG and TMG carry two Virasoro algebras whose central charges equal their spatial-infinity values.

  4. Conserved charges and asymptotic symmetries of BTZ-like black holes in Einstein-bumblebee gravity

    hep-th 2025-04 conditional novelty 4.0 of 10

    For BTZ-like black holes in Einstein-bumblebee gravity, the conserved charges, central charges, and entropy all acquire factors of the Lorentz-violating parameter, and the near-horizon extremal case admits a Virasoro-...

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