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

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.

arXiv comment9 pages

References in corpus (9)

• Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem
• Black holes as bubble nucleation sites
• Towards a quantum theory of de Sitter space
• Gravitational Thermodynamics of Causal Diamonds in (A)dS
• Wormholes and black hole microstates in AdS/CFT
• Gravitational Constrained Instantons
• Schottky Anomaly of deSitter Black Holes
• Specific Heats and Schottky Peaks for Black Holes in Extended Thermodynamics
• Path Integrals for Causal Diamonds and the Covariant Entropy Principle