Thermodynamic Features of Black Holes Dressed with Quantum Fields

Details Thermodynamic Features of Black Holes Dressed with Quantum Fields Thermodynamic Features of Black Holes Dressed with Quantum Fields

1995-09-25

arxiv.org/abs/gr-qc/9509045v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages in plain LaTex. Based on a talk presented at the Third Workshop on Quantum Field Theory under the Influence of Extern

Scientific paper

The thermal properties of black holes in the presence of quantum fields can be revealed through solutions of the semi-classical Einstein equation. We present a brief but self-contained review of the main features of the semi-classical back reaction problem for a black hole in the microcanonical ensemble. The solutions, obtained for conformal scalars, massless spinors and U(1) gauge bosons, are used to calculate the $O(\hbar)$ corrections to the temperature and thermodynamical entropy of a Schwarzschild black hole. In each spin case considered, the entropy corrections $\Delta S(r)$, are positive definite and monotone increasing with increasing distance $r$ from the hole, and are of the same order as the naive flat space radiation entropy.

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