The self-screening Hawking atmosphere

Details The self-screening Hawking atmosphere The self-screening Hawking atmosphere

1997-06-19

arxiv.org/abs/gr-qc/9706058v2

Nucl.Phys.Proc.Suppl. 68 (1998) 174-184

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, plain TeX, 5 figures PostScript. The author was made aware of further references to older work, in view of which mod

Scientific paper

10.1016/S0920-5632(98)00151-0

A model is proposed in which the Hawking particles emitted by a black hole are treated as an envelope of matter that obeys an equation of state, and acts as a source in Einstein's equations. This is a crude but interesting way to accommodate for the back reaction. For large black holes, the solution can be given analytically, if the equation of state is $p=\kappa\rho$, with $0<\kappa<1$. The solution exhibits a singularity at the origin. If we assume $N$ free particle types, we can use a Hartree-Fock procedure to compute the contribution of one such field to the entropy, and the result scales as expected as $1/N$. A slight mismatch is found that could be attributed to quantum corrections to Einstein's equations, but can also be made to disappear when $\k$ is set equal to one. The case $\kappa=1$ is further analysed.

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