On the origin of the particles in black hole evaporation

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dc.creatorSchützhold, Ralf
dc.creatorUnruh, William G.
dc.date2008-04-10
dc.date.accessioned2026-07-07T11:49:45Z
dc.date.available2026-07-07T11:49:45Z
dc.descriptionWe 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.
dc.description4 pages RevTex
dc.identifierhttps://arxiv.org/abs/0804.1686
dc.identifierhttp://arxiv.org/abs/0804.1686
dc.identifierPhys.Rev.D78:041504,2008
dc.identifierdoi:10.1103/PhysRevD.78.041504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203346
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOn the origin of the particles in black hole evaporation
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