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Published February 15, 1984 | Submitted + Published
Journal Article Open

Black-hole thermodynamics and singular solutions of the Tolman-Oppenheimer-Volkoff equation


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


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