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Collins, W. 
ORCID: https://orcid.org/0000-0002-4463-9848
(1992)
Mechanics of apparent horizons.
Physical Review D, 45 (2).
pp. 495-498.
ISSN 0556-2821
Abstract
An equation for the variation in the surface area of an apparent horizon is derived which has the same form as the thermodynamic relation TdS=dQ. For a stationary vacuum black hole, the expression corresponding to a temperature equals the temperature of the event horizon. Also, if the black hole is perturbed infinitesimally by weak matter and gravitational fields, the area variation of the apparent horizon asymptotically approaches the Hartle-Hawking result for the event horizon. These results support the idea that a local version of black-hole thermodynamics in nonstationary systems can be constructed for apparent horizons.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | physics and astronomy (miscellaneous) ,/dk/atira/pure/subjectarea/asjc/3100/3101 |
| Faculty \ School: | Faculty of Science > School of Environmental Sciences |
| Related URLs: | |
| Depositing User: | LivePure Connector |
| Date Deposited: | 07 Jul 2026 13:04 |
| Last Modified: | 08 Jul 2026 14:34 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/103756 |
| DOI: | 10.1103/PhysRevD.45.495 |
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