Geodesic
Classical analogue of a~quantum Schwarzschild black hole: ``Standard model'' and beyond
Teoretičeskaâ i matematičeskaâ fizika, Tome 170 (2012) no. 1, pp. 87-101

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We build a model in which the main global properties of classical and semiclassical black holes become local: these are the event horizon, “no-hair”, temperature, and entropy. Our construction is based on the features of a quantum collapse, discovered when studying some particular quantum black hole models. But our model is purely classical, and this allows using the Einstein equations and classical (local) thermodynamics self-consistently and, in particular, solving the "puzzle of $\ln 3$".
Keywords: quantum black hole, thermodynamics, quasinormal frequency. 
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     author = {V. A. Berezin},
     title = {Classical analogue of a~quantum {Schwarzschild} black hole: {``Standard} model'' and beyond},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {87--101},
     publisher = {mathdoc},
     volume = {170},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_170_1_a5/}
}
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V. A. Berezin. Classical analogue of a~quantum Schwarzschild black hole: ``Standard model'' and beyond. Teoretičeskaâ i matematičeskaâ fizika, Tome 170 (2012) no. 1, pp. 87-101. http://geodesic.mathdoc.fr/item/TMF_2012_170_1_a5/