Radial geodesics as a microscopic origin of black hole entropy. I: Confined under the Schwarzschild horizon
arXiv:gr-qc/0412090 · doi:10.1103/PhysRevD.72.124011
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.
16 pages, 12 eps-figures, iopart class, tought experiment (p.7) added