Dolan, Brian P.
(2010)
Enthalpy and the first law of black hole
thermodynamics.
Proceedings of Science, CNCFG2010.
pp. 19.
ISSN 18248039
Abstract
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 "Noncommutative 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 
URI: 

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