Enthalpy and the first law of black hole thermodynamics

Dolan, Brian P. (2010) Enthalpy and the first law of black hole thermodynamics. Proceedings of Science, CNCFG2010. pp. 1-9. ISSN 1824-8039

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In black hole thermodynamics a cosmological constant contributes a pressure to the equation of state whose the conjugate variable is a ‘volume’. It is shown that, for a negative cosmological constant, this ‘thermodynamic volume’ is the volume of space excluded by the event horizon, when quantum gravity corrections are ignored. This applies to black holes in any dimension with any event horizon geometry compatible with Einstein’s equations, such as spheres, tori, spaces of constant negative curvature or, in general, any Einstein space with constant Ricci scalar. Quantum corrections to the volume are calculate for the BTZ black hole.

Item Type: Article
Additional Information: Invited talk at the "Non-commutative field theory and Gravity" (CNCFG2010) session of the 10th Hellenic School on Elementary Particle Physics and Gravity, Corfu, Greece, 2010.
Keywords: Enthalpy; black hole; thermodynamics;
Academic Unit: Faculty of Science and Engineering > Mathematical Physics
Item ID: 2562
Identification Number: PoS(CNCFG2010)017
Depositing User: Dr. Brian Dolan
Date Deposited: 17 Jun 2011 11:34
Journal or Publication Title: Proceedings of Science
Publisher: SISSA, the International School for Advanced Studies
Refereed: Yes

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