Published February 15, 1984
| Submitted + Published
Journal Article
Open
Black-hole thermodynamics and singular solutions of the Tolman-Oppenheimer-Volkoff equation
- Creators
- Zurek, W. H.
- Page, Don N.
Abstract
Thermodynamic equilibrium of a self-gravitating perfect fluid for a spherically symmetric system containing a black hole of mass M is investigated by means of the Tolman-Oppenheimer-Volkoff (TOV) equation. A singular family of solutions of the TOV equation is described. At r≫2M these solutions can be used to represent a perfect fluid (i.e., photon gas) of temperature T_(BH) =(8πM)^(−1) in equilibrium with a Schwarzschild black hole. The energy density is positive at all r>0. A singular negative point mass resides at r=0.
Additional Information
© 1984 American Physical Society. Received 13 April 1983. We would like to thank John Archibald Wheeler for encouragement at the early stages of this work, and for useful discussions in its course. The help of Bog Kuszta in both numerical and analytic treatment of nonlinear equations was invaluable. Financial support was provided by the NSF Grants Nos. AST-79-22012-Al and PHY81-17464, a Tolman Fellowship (WHZ), and an Alfred P. Sloan Research Fellowship (DNP).Attached Files
Published - PhysRevD.29.628.pdf
Submitted - 1511.07051.pdf
Files
PhysRevD.29.628.pdf
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Additional details
- Alternative title
- Firewalls, black-hole thermodynamics, and singular solutions of the Tolman-Oppenheimer-Volkoff equation
- Eprint ID
- 71147
- Resolver ID
- CaltechAUTHORS:20161017-093516061
- AST-79-22012-Al
- NSF
- PHY81-17464
- NSF
- Richard Chace Tolman Fellowship
- Alfred P. Sloan Foundation
- Created
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2016-10-17Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field