de Sitter Black Holes as Constrained States in the Euclidean Path Integral

2022/03/04 by Patrick Draper, Szilard Farkas, Szilárd Farkas · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.1103/physrevd.105.126022

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 ∼ e^-(S_dS-S_SdS) to find a black hole in the de Sitter bath.

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