Some statistical mechanical properties of photon black holes
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedad Mexicana de Física A.C.
2006
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| author | C. S. Lopez-Monsalvo |
| author_facet | C. S. Lopez-Monsalvo |
| contents | Some statistical mechanical properties of photon black holes C. S. Lopez-Monsalvo X. Hernandez S. Mendoza R. A. Sussman Física, Astronomía y Matemáticas evaporation thermodynamics classical black holes Physics of black holes quantum aspects of black holes We show that if the total internal energy of a black hole is constructed as the sum of N photons all having a fixed wavelength chosen to scalewith the Schwarzschild radius as ¸ = ®Rs, then N will scale with R2s. A statistical mechanical calculation of the configuration proposedyields ® = 4¼2= ln(2) and a total entropy of the system S = kBN ln(2), in agreement with the Bekenstein entropy of a black hole. It isshown that the critical temperature for Bose-Einstein condensation for relativistic particles of ¸ = ®Rs is always well below the Hawkingtemperature of a black hole, in support of the proposed internal configuration. We then examine our results from the point of view of recentloop quantum gravity ideas and find that a natural consistency of both approaches appears. We show that the Jeans criterion for gravitationalinstability can be generalised to the special and general relativistic regimes and holds for any type of mass-energy distribution. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57065404 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.6 Vol.52 |
| format | Artículo científico |
| id | redalyc_57065404 |
| language | en |
| publishDate | 2006 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Some statistical mechanical properties of photon black holes C. S. Lopez-Monsalvo Física, Astronomía y Matemáticas evaporation thermodynamics classical black holes Physics of black holes quantum aspects of black holes Some statistical mechanical properties of photon black holes C. S. Lopez-Monsalvo X. Hernandez S. Mendoza R. A. Sussman Física, Astronomía y Matemáticas evaporation thermodynamics classical black holes Physics of black holes quantum aspects of black holes We show that if the total internal energy of a black hole is constructed as the sum of N photons all having a fixed wavelength chosen to scalewith the Schwarzschild radius as ¸ = ®Rs, then N will scale with R2s. A statistical mechanical calculation of the configuration proposedyields ® = 4¼2= ln(2) and a total entropy of the system S = kBN ln(2), in agreement with the Bekenstein entropy of a black hole. It isshown that the critical temperature for Bose-Einstein condensation for relativistic particles of ¸ = ®Rs is always well below the Hawkingtemperature of a black hole, in support of the proposed internal configuration. We then examine our results from the point of view of recentloop quantum gravity ideas and find that a natural consistency of both approaches appears. We show that the Jeans criterion for gravitationalinstability can be generalised to the special and general relativistic regimes and holds for any type of mass-energy distribution. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57065404 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.6 Vol.52 |
| title | Some statistical mechanical properties of photon black holes |
| topic | Física, Astronomía y Matemáticas evaporation thermodynamics classical black holes Physics of black holes quantum aspects of black holes |
| url | https://www.redalyc.org/articulo.oa?id=57065404 |