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Free keywords:
General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
Abstract:
We study the spatial properties of the modes responsible for the Hawking
effect in the presence of high frequency dispersion. Near the horizon, the
modes are regularized on a small distance which only depends on the surface
gravity and the scale of dispersion. The regularization explains why the
spectrum is hardly affected by dispersion as long as the background geometry
does not significantly vary over this composite length. For relevant
frequencies, the regularization differs from the usual WKB resolution of wave
singularity near a turning point. The latter only applies when the frequency is
so high that the Hawking effect is negligible.
