Resumo

HERNANDEZ, X; LOPEZ-MONSALVO, C.S; MENDOZA, S  e  SUSSMAN, R.A. Some statistical mechanical properties of photon black holes. Rev. mex. fis. [online]. 2006, vol.52, n.6, pp.515-521. ISSN 0035-001X.

We show that if the total internal energy of a blackhole is constructed as the sum of N photons all having a fixed wavelength chosento scale with the Schwarzschild radius as λ = αR_s, then N will scale with. A statistical mechanical calculation of the configuration proposed yields α = 4π²/ ln(2) and a total entropy of the system S = k_BN ln(2), in agreement with the Bekenstein entropy of a black hole. It is shown that the critical temperature for Bose-Einstein condensation for relativistic particles of λ = αR_s is always well below the Hawking temperature of a black hole, in support of the proposed internal configuration. We then examine our results from the point of view of recent loop quantum gravity ideas and find that a natural consistency of both approaches appears. We show that the Jeans criterion for gravitational instability can be generalised to the special and general relativistic regimes and holds for any type of mass-energy distribution.

Palavras-chave : Physics of black holes; classical black holes; quantum aspects of black holes; evaporation; thermodynamics.

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