Euclidean action and the thermodynamics of manifolds without boundary
- 15 May 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 41 (10), 3248-3251
- https://doi.org/10.1103/physrevd.41.3248
Abstract
I consider general, spherically symmetric spacetimes with cosmological and black-hole horizons. I find that a state of thermal equilibrium may exist in classical manifolds with two horizons as long as a matter distribution is present. The Euclidean action is calculated for general (nonclassical) manifolds without boundary. It is found to equal the grand canonical weighting factor for a spacetime with zero mean thermal energy. I also consider how the Euclidean action is modified by the imposition of fixed-temperature shells in the manifold. I find that the mean thermal energy of the cosmological horizon is negative.Keywords
This publication has 5 references indexed in Scilit:
- Additivity of the entropies of black holes and matter in equilibriumPhysical Review D, 1989
- Action Principle and Partition Function for the Gravitational Field in Black-Hole TopologiesPhysical Review Letters, 1988
- Black-hole thermodynamics and the Euclidean Einstein actionPhysical Review D, 1986
- Action integrals and partition functions in quantum gravityPhysical Review D, 1977
- Perfect Fluids in General Relativity: Velocity Potentials and a Variational PrinciplePhysical Review D, 1970