The cosmological constant and black hole thermodynamic potentials

Dolan, Brian P. (2011) The cosmological constant and black hole thermodynamic potentials. Classical and Quantum Gravity, 28 (125020). pp. 1-13. ISSN 0264-9381

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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.

Item Type: Article
Additional Information: It is a pleasure to thank the Perimeter Institute, Waterloo, Canada for hosting a visit during which this work was initiated. This work was partly funded by the EU Research Training Network in Noncommutative Geometry (EU-NCG).
Keywords: cosmological constant; black hole; equation of state; thermodynamics; thermodynamic potential;
Academic Unit: Faculty of Science and Engineering > Mathematical Physics
Item ID: 2606
Identification Number: doi: 10.1088/0264-9381/28/12/125020
Depositing User: Dr. Brian Dolan
Date Deposited: 08 Jul 2011 14:12
Journal or Publication Title: Classical and Quantum Gravity
Publisher: Institute of Physics
Refereed: No
Funders: EU Research Training Network in Noncommutative Geometry (EU-NCG)

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