Nonsingular black hole model as a possible end product of gravitational collapse
Abstract
In this paper we present a nonsingular black hole model as a possible endproduct of gravitational collapse. The depicted spacetime which is type [II,(II)], by Petrov classification, is an exact solution of the Einstein equations and contains two horizons. The equation of state p_{r}(ρ) in the radial direction, is a wellbehaved function of the density ρ(r) and smoothly reproduces vacuumlike behavior near r=0 while tending to a polytrope at larger r, low ρ values. The final equilibrium configuration comprises a de Sitterlike inner core surrounded by a family of 2surfaces Σ of matter fields with variable equation of state. The fields are all concentrated in the vicinity of the radial center r=0. The solution depicts a spacetime that is asymptotically Schwarzschild at large r, while it becomes de Sitterlike as r→0. Possible physical interpretations of the macrostate of the black hole interior in the model are offered. We find that the possible state admits two equally viable interpretations, namely, either a quintessential intermediary region or a phase transition in which a twofluid system is in both dynamic and thermodynamic equilibrium. We estimate the ratio of pure matter present to the total energy and in both cases find it to be virtually the same, being ∼0.83. Finally, the wellbehaved dependence of the density and pressure on the radial coordinate provides some insight on dealing with the information loss paradox.
 Publication:

Physical Review D
 Pub Date:
 July 2005
 DOI:
 10.1103/PhysRevD.72.024016
 arXiv:
 arXiv:grqc/0506111
 Bibcode:
 2005PhRvD..72b4016M
 Keywords:

 04.70.Bw;
 04.20.Jb;
 Classical black holes;
 Exact solutions;
 General Relativity and Quantum Cosmology;
 Astrophysics;
 High Energy Physics  Theory
 EPrint:
 12 Pages, 1 figure. Accepted for publication in Phys. Rev. D