Horizon divergences of Fields and Strings in Black Hole backgrounds

Details Horizon divergences of Fields and Strings in Black Hole backgrounds Horizon divergences of Fields and Strings in Black Hole backgrounds

1994-02-01

arxiv.org/abs/hep-th/9402004v2

Phys.Rev. D50 (1994) 2712-2718

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, PUPT-1448 (some typos corrected and references added)

Scientific paper

10.1103/PhysRevD.50.2712

General arguments based on curved space-time thermodynamics show that any extensive quantity, like the free energy or the entropy of thermal matter, always has a divergent boundary contribution in the presence of event horizons, and this boundary term comes with the Hawking-Bekenstein form. Although the coefficients depend on the particular geometry we show that intensive quantities, like the free energy density are universal in the vicinity of the horizon. {} From the point of view of the matter degrees of freedom this divergence is of infrared type rather than ultraviolet, and we use this remark to speculate about the fate of these pathologies in String Theory. Finally we interpret them as instabilities of the Canonical Ensemble with respect to gravitational collapse via the Jeans mechanism.

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