Path Integral Over Black Hole Fluctuations

Details Path Integral Over Black Hole Fluctuations Path Integral Over Black Hole Fluctuations

2005-05-15

arxiv.org/abs/hep-th/0505125v2

Phys.Rev. D72 (2005) 024022

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, added a couple of clarifications

Scientific paper

10.1103/PhysRevD.72.024022

Evaluating a functional integral exactly over a subset of metrics that represent the quantum fluctuations of the horizon of a black hole, we obtain a Schroedinger equation in null coordinate time for the key component of the metric. The equation yields a current that preserves probability if we use the most natural choice of functional measure. This establishes the existence of blurred horizons and a thermal atmosphere. It has been argued previously that the existence of a thermal atmosphere is a direct concomitant of the thermal radiation of black holes when the temperature of the hole is greater than that of its larger environment, which we take as zero.

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