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arXiv · hep-th/0505125

Path Integral Over Black Hole Fluctuations

James W. York, Jr.·Bjoern S. Schmekel
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Abstract

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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James W. York, Jr., Bjoern S. Schmekel. 2005-07-18. Path Integral Over Black Hole Fluctuations. https://doi.org/10.1103/physrevd.72.024022

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