The cosmological constant and the black hole equation of state
General Relativity and Quantum Cosmology
2012-12-24 v4 High Energy Physics - Theory
Abstract
The thermodynamics of black holes in various dimensions are described in the presence of a negative cosmological constant which is treated as a thermodynamic variable, interpreted as a pressure in the equation of state. The black hole mass is then identified with the enthalpy, rather than the internal energy, and heat capacities are calculated at constant pressure not at constant volume. The Euclidean action is associated with a bridge equation for the Gibbs free energy and not the Helmholtz free energy. Quantum corrections to the enthalpy and the equation of state of the BTZ black hole are studied.
Keywords
Cite
@article{arxiv.1008.5023,
title = {The cosmological constant and the black hole equation of state},
author = {Brian P. Dolan},
journal= {arXiv preprint arXiv:1008.5023},
year = {2012}
}
Comments
20 pages, 4 figures: some typos corrected in v5