Self-Gravitating Hawking Atmosphere of a Black Hole Fireball: Radial Perturbations

We present results from investigating the stability, under radial perturbations, of self-gravitating Hawking atmospheres of black hole fireball configurations first introduced by Zurek and Page [1] and later discussed by ’t Hooft [2]. These models correspond to singular solutions of the Tolman–Oppenheimer–Volkoff equations, consisting of a negative effective mass core surrounded by a radiation fluid. The configurations are interpreted as representing a black hole of mass M in thermal equilibrium with a radiation cloud of mass-energy Mg. Our stability analysis follows the formalism developed by Kokkotas and Ruoff for radial oscillations of relativistic stellar models. We explore the parameter space 1 < M < 50  and  0.001 < Mg/M < 0.1 the region of stable configurations.

[1] W. H. Zurek and D. N. Page, Phys. Rev. D 29, 628 (1984).

[2] G. ’t Hooft, Nucl. Phys. Proc. Suppl. 68, 174–184 (1998).