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Radial geodesics as a microscopic origin of black hole entropy. I: Confined under the Schwarzschild horizon

V. V. Kiselev
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Abstract

Causal radial geodesics with a positive interval in the Schwarzschild metric include a subset of trajectories completely confined under a horizon, which compose a thermal statistical ensemble with the Hawking-Gibbons temperature. The Bekenstein--Hawking entropy is given by an action at corresponding geodesics of particles with a summed mass equal to that of black hole in the limit of large mass.

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V. V. Kiselev. 2005-02-03. Radial geodesics as a microscopic origin of black hole entropy. I: Confined under the Schwarzschild horizon. https://doi.org/10.1103/physrevd.72.124011

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