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Quantum corrections to the path integral of near extremal de Sitter black holes
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abstract
We study quantum corrections to the Euclidean path integral of charged and static four-dimensional de Sitter (dS$_4$) black holes near extremality. These black holes admit three different extremal limits (Cold, Nariai and Ultracold) which exhibit AdS$_2 \times S^2 $, dS$_2 \times S^2 $ and $\text{Mink}_2 \times S^2$ near horizon geometries, respectively. The one-loop correction to the gravitational path integral in the near horizon geometry is plagued by infrared divergencies due to the presence of tensor, vector and gauge zero modes. Inspired by the analysis of black holes in flat space, we regulate these divergences by introducing a small temperature correction in the Cold and Nariai background geometries. In the Cold case, we find a contribution from the gauge modes which is not present in previous work in asymptotically flat spacetimes. Several issues concerning the Nariai case, including the presence of negative norm states and negative eigenvalues, are discussed, together with problems faced when trying to apply this procedure to the Ultracold solution.
Forward citations
Cited by 4 Pith papers
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Quantum Fluctuations and Newton-Cartan Geometry for Non-Relativistic de Sitter space
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Limits on the Statistical Description of Charged de Sitter Black Holes
For charged de Sitter black holes, choosing the Bousso-Hawking observer normalization keeps the heat capacity finite in the Nariai limit, removing the expected log-T breakdown except in the cold and ultracold limits.
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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
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