Blackhole thermodynamics and singular solutions of the TolmanOppenheimerVolkoff equation
Abstract
Thermodynamic equilibrium of a selfgravitating perfect fluid for a spherically symmetric system containing a black hole of mass M is investigated by means of the TolmanOppenheimerVolkoff (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.
 Publication:

Physical Review D
 Pub Date:
 February 1984
 DOI:
 10.1103/PhysRevD.29.628
 arXiv:
 arXiv:1511.07051
 Bibcode:
 1984PhRvD..29..628Z
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 We study selfgravitating spherically symmetric fluid with a mass of a black hole surrounded by Hawking radiation. Solutions cross r=2M without encountering coordinate singularity to reach a firewalllike "Planck cocoon" with entropy close to black hole entropy. We reproduce our paper with an updated title and abstract. For a later study with similar results see G. 't Hooft, grqc/9706058