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Gravitational dynamics of near-extreme Kerr (Anti-)de Sitter black holes
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abstract
We analyze the thermodynamic response near extremality of black holes with angular momentum in (3+1)-dimensional de Sitter and Anti-de Sitter spacetimes. While Kerr-AdS$_4$ is characterized by a single extremal limit, for Kerr-dS$_4$ there are three different extremal scenarios (Cold, Nariai and Ultracold). These exhibit different near horizon geometries, with AdS$_2$, dS$_2$ and Mink$_2$ factors respectively. We analyze each extremal case and contrast the response once the black holes are taken out of extremality. We study the perturbations of the near horizon geometry at the level of the 4D metric, considering a consistent truncation for the metric fluctuations, and find solutions to the linearized Einstein equations. We characterize the perturbations that are responsible for the deviations away from extremality and show that their dynamics is governed by a Schwarzian theory. We treat the Ultracold case separately, detailing how the thermodynamics in 4D is reflected in the near horizon dynamics.
Forward citations
Cited by 4 Pith papers
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Projecting Gravitational Fluctuations onto Near-Horizon Throats
A pair of coordinate changes projects Heun-type gravitational fluctuation equations onto two matched hypergeometric problems, reproducing instanton-counting results and yielding Schwarzian zero modes.
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Backreaction of near-AdS2 geometry gives a temperature correction to scalar correlators that for massive fields needs metric backreaction, matches BTZ, and corrects the standard prescription.
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Quantum gravity around ultracold black holes from DSSYK
Ultracold Reissner-Nordström de Sitter black hole fluctuations are proposed to be described by a gauged near-flat dilaton gravity model with a Gaussian spectral density, yielding a finite partition function and dynami...
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One loop corrections to the thermodynamics of near-extremal Kerr-(A)dS black holes from Heun equation
Cold near-extremal Kerr-de Sitter black holes carry universal log(T) entropy corrections while rotating Nariai geometries do not, as derived from Teukolsky/Heun connection coefficients.
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