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de Sitter Black Holes as Constrained States in the Euclidean Path Integral
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abstract
Schwarzschild-de Sitter black holes have two horizons that are at different temperatures for generic values of the black hole mass. Since the horizons are out of equilibrium the solutions do not admit a smooth Euclidean continuation and it is not immediately clear what role they play in the gravitational path integral. We show that Euclidean SdS is a genuine saddle point of a certain constrained path integral, providing a consistent Euclidean computation of the probability $\sim e^{-(S_{dS}-S_{SdS})}$ to find a black hole in the de Sitter bath.
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Cited by 1 Pith paper
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Quasinormal Modes and the Switchback Effect in Schwarzschild-de Sitter
The paper derives eikonal quasinormal mode frequencies and shock-wave switchback delays in Schwarzschild-de Sitter for arbitrary mass, using static-sphere observers and reflecting boundary conditions.
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