The self-screening Hawking atmosphere

Abstract

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.

19 pages, plain TeX, 5 figures PostScript. The author was made aware of further references to older work, in view of which modifications were made in order to avoid too much overlap. A discussion is added on the case $\kappa =1$

References in corpus (2)

• Dirichlet-Branes and Ramond-Ramond Charges
• Black Holes in String Theory

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