Self-Screening Hawking Atmosphere in the Presence of a Bulk Viscosity

Details Self-Screening Hawking Atmosphere in the Presence of a Bulk Viscosity Self-Screening Hawking Atmosphere in the Presence of a Bulk Viscosity

1999-06-16

arxiv.org/abs/gr-qc/9906060v2

Phys.Rev.D61:124017,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, LaTeX, no figures, minor extensions of the discussion. To appear in PRD

Scientific paper

10.1103/PhysRevD.61.124017

The recent theory of 't Hooft [ Nucl. Phys. Suppl. {\bf 68}, 174 (1998)] models the black hole as a system endowed with an envelope of matter that obeys an equation of state in the form $ p=(\gamma -1)\rho$, and acts as a source in Einstein's equations. The present paper generalizes the 't Hooft theory so as to take into account a bulk viscosity $\zeta$ in the fluid. It is shown that even a slight positive value of $\zeta$ will suffice to yield complete agreement with the Hawking formula for the entropy of the black hole, if the value of the constant $\gamma$ takes a value that is slightly less than 4/3. The value $\gamma=4/3$ corresponds to a radiation fluid.

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