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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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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 "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 |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/2562 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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