Black-hole thermodynamics and singular solutions of the Tolman-Oppenheimer-Volkoff equation
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 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.
- 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
- E-Print:
- We study self-gravitating 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 firewall-like "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, gr-qc/9706058