On dispersion relations and the statistical mechanics of Hawking radiation
arXiv:hep-th/0111287 · doi:10.1088/0264-9381/19/9/309
Abstract
We analyze the interplay between dispersion relations for the spectrum of Hawking quanta and the statistical mechanics of such a radiation. We first find the general relation between the occupation number density and the energy spectrum of Hawking quanta and then study several cases in details. We show that both the canonical and the microcanonical picture of the evaporation lead to the same linear dispersion relation for relatively large black holes. We also compute the occupation number obtained by instead assuming that the spectrum levels out (and eventually falls to zero) for very large momenta and show that the luminosity of black holes is not appreciably affected by the modified statistics.
LaTeX, 12 pages, 6 eps figures included, final version to appear in Class. Quantum Gravity
References in corpus (6)
- Essential and inessential features of Hawking radiation
- Relic Dark energy from Trans-Planckian Regime
- Can black holes and naked singularities be detected in accelerators?
- Black Hole Evaporation and Compact Extra Dimensions
- What can we learn by probing Trans-Planckian physics
- On time evolution of quantum black holes
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