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

Journal Article · Tue Feb 14 23:00:00 EST 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.29.628· OSTI ID:5202920

Zurek, W H; Page, D N

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/sub BH/ = (8..pi..M)/sup -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.

• Research Organization: Theoretical Astrophysics, California Institute of Technology, Pasadena, California 91125
• OSTI ID: 5202920
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 29:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

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EINSTEIN FIELD EQUATIONS
ENTROPY
EQUATIONS
EQUATIONS OF STATE
FIELD EQUATIONS
MASS
METRICS
PHYSICAL PROPERTIES
SCHWARZSCHILD RADIUS
THERMODYNAMIC PROPERTIES