Hawking radiation in dispersive theories, the two regimes

Details Hawking radiation in dispersive theories, the two regimes Hawking radiation in dispersive theories, the two regimes

2012-02-27

arxiv.org/abs/1202.6015v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 8 figures

Scientific paper

We compute the black hole radiation spectrum in the presence of high frequency dispersion in a large set of situations. In all cases, the spectrum diverges like the inverse of the Killing frequency. When studying the low frequency spectrum we find only two regimes: an adiabatic one where the corrections with respect to the standard temperature are small, and an abrupt one regulated by dispersion which is well described using step functions. The transition from one regime to the other is governed by a single parameter which also governs the net redshift undergone by dispersive modes. These results can be used to characterize the quasi-particles spectrum of recent and future experiments aiming to detect the analogue Hawking radiation. They also apply to theories of quantum gravity that violate Lorentz invariance.

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