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

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

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phrvd..29..628z&link_type=abstract

Physical Review D (Particles and Fields), Volume 29, Issue 4, 15 February 1984, pp.628-631

Physics

23

Scientific paper

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 TBH=(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.

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