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Cited by 674

The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.

Pressure and volume in the first law of black hole thermodynamics

Open access
Dolan, Brian P·2011·Classical and Quantum Gravity

Abstract

The mass of a black hole is interpreted, in terms of thermodynamic potentials, as being the enthalpy, with the pressure given by the cosmological constant. The volume is then defined as being the Legendre transform of the pressure and the resulting relation between volume and pressure is explored in the case of positive pressure. A virial expansion is developed and a van der Waals like critical point determined. The first law of black hole thermodynamics includes a PdV term which modifies the maximal efficiency of a Penrose process. It is shown that, in four dimensional space-time with a negative cosmological constant an extremal charged rotating black hole can have an efficiency of up to 75%, while for an electrically neutral rotating back hole this figure is reduced to 52%, compared to the corresponding values of 50% and 29% respectively when the cosmological constant is zero.

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Crossref · 10.1088/0264-9381/28/23/235017

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Metadata

Authors
Dolan, B. P.
Venue
Classical and Quantum Gravity
Published
2011-11-17
Volume
28
Issue
23
Pages
235017
ISSN
  • 0264-9381 (ISSN-L)
  • 1361-6382
OpenAlex
W2112301627
Cited by
674
References
22
FWCI
9.96
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Pressure and volume in the first law of black hole thermodynamics. https://app.cochat.ai/papers/10.1088/0264-9381/28/23/235017
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Dolan, B. P. (2011). Pressure and volume in the first law of black hole thermodynamics. Classical and Quantum Gravity. https://doi.org/10.1088/0264-9381/28/23/235017

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.