The cosmological constant and the black hole equation of state

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.

20 pages, 4 figures: some typos corrected in v5

References in corpus (5)

• Lectures on Holographic Superfluidity and Superconductivity
• Holographic duality with a view toward many-body physics
• Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
• The first laws of thermodynamics of the (2+1)-dimensional BTZ black holes and Kerr-de Sitter spacetimes
• Stringy Generalization of the First Law of Thermodynamics for Rotating BTZ Black Hole with a Cosmological Constant as State Parameter

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