The cosmological constant and the black hole equation of state

Details The cosmological constant and the black hole equation of state The cosmological constant and the black hole equation of state

2010-08-30

arxiv.org/abs/1008.5023v3

Class.Quant.Grav.28:125020,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 4 figures: minor typo corrected in v3

Scientific paper

10.1088/0264-9381/28/12/125020

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.

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