Entropy of Quantum Fields for Nonextreme Black Holes in the Extreme Limit

Details Entropy of Quantum Fields for Nonextreme Black Holes in the Extreme Limit Entropy of Quantum Fields for Nonextreme Black Holes in the Extreme Limit

1997-08-06

arxiv.org/abs/gr-qc/9708027v3

Phys.Rev. D57 (1998) 6265-6268

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, ReVTeX, no figures. New references added, discussion expanded, presentation and English improved. Accepted for publi

Scientific paper

10.1103/PhysRevD.57.6265

Nonextreme black hole in a cavity within the framework of the canonical or grand canonical ensemble can approach the extreme limit with a finite temperature measured on a boundary located at a finite proper distance from the horizon. In spite of this finite temperature, it is shown that the one-loop contribution $S_{q\text{ }}$of quantum fields to the thermodynamic entropy due to equilibrium Hawking radiation vanishes in the limit under consideration. The same is true for the finite temperature version of the Bertotti-Robinson spacetime into which a classical Reissner-Nordstr\"{o}m black hole turns in the extreme limit. The result $S_{q}=0$ is attributed to the nature of a horizon for the Bertotti-Robinson spacetime.

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