On the origin of the particles in black hole evaporation

2008/04/10 by Ralf Schützhold, William G. Unruh · 2 citations
Physics and Astronomy · #gr-qc

paper · pdf · doi:10.1103/physrevd.78.041504

published as Phys.Rev.D78:041504,2008 · 4 pages RevTex

arxiv created 2008/04/10 · arxiv updated 2009/12/01

Abstract

We present an analytic derivation of Hawking radiation for an arbitrary (spatial) dispersion relation ω(k) as a model for ultra-high energy deviations from general covariance. It turns out that the Hawking temperature is proportional to the product of the group dω/dk and phase ω/k velocities evaluated at the frequency ω of the outgoing radiation far away, which suggests that Hawking radiation is basically a low-energy phenomenon. Nevertheless, a group velocity growing too fast at ultra-short distances would generate Hawking radiation at ultra-high energies (``ultra-violet catastrophe'') and hence should not be a realistic model for the microscopic structure of quantum gravity.

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