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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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
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.