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Extremal Black Hole Decay in de Sitter Space
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Extremal Black Hole Decay in de Sitter Space
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The decay of extremal charged black holes has been a useful guidance to derive consistency conditions in quantum gravity. In de Sitter space it has been argued that requiring (extremal) charged Nariai black holes to decay without forming a big crunch singularity yields the Festina Lente (FL) bound: particles with mass $m_s$ and charge $q$ should satisfy $m_s^2 \gg M_pHq$, where $M_p$ is the Planck mass and $H$ the Hubble parameter. Using a tunneling approach we show that the decay probability of charged black holes in de Sitter space in the s-wave sector is $P\sim \exp(\Delta S_b)$, where~$\Delta S_b$ is the change in the black hole entropy. We find that the FL bound corresponds to $\Delta S_b \leq -1$ in the Nariai and probe limit. However, taking into account backreaction we identify unsuppressed decay channels, which might be subdominant, that violate this bound but nonetheless do not result in a big crunch for every observer.
Forward citations
Cited by 3 Pith papers
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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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The fate of Reissner--Nordstr\"om--de Sitter black holes: nonequilibrium discharge and evaporation
Semiclassical RN-dS evaporation via 2D dilaton gravity and anomaly flux yields monotonic neutral mass loss and rapid discharge, making classical equilibrium loci non-attractors and leading to empty de Sitter space.
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Limits on the Statistical Description of Charged de Sitter Black Holes
Adopting the Bousso-Hawking observer normalization for RNdS black holes produces finite heat capacity near the Nariai limit while confirming vanishing capacity in cold and ultracold limits, limiting statistical descriptions.
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