Computing the spectrum of black hole radiation in the presence of high frequency dispersion: an analytical approach

dc.creatorCorley, Steven
dc.date1997-10-08
dc.date.accessioned2026-07-07T10:34:20Z
dc.date.available2026-07-07T10:34:20Z
dc.descriptionWe present a method for computing the spectrum of black hole radiation of a scalar field satisfying a wave equation with high frequency dispersion. The method involves a combination of Laplace transform and WKB techniques for finding approximate solutions to ordinary differential equations. The modified wave equation is obtained by adding a higher order derivative term suppressed by powers of a fundamental momentum scale $k_0$ to the ordinary wave equation. Depending on the sign of this new term, high frequency modes propagate either superluminally or subluminally. We show that the resulting spectrum of created particles is thermal at the Hawking temperature, and further that the out-state is a thermal state at the Hawking temperature, to leading order in $k_0$, for either modification.
dc.description26 pages, plain latex, 6 figures included using psfig
dc.identifierhttps://arxiv.org/abs/hep-th/9710075
dc.identifierhttp://arxiv.org/abs/hep-th/9710075
dc.identifierPhys.Rev.D57:6280-6291,1998
dc.identifierdoi:10.1103/PhysRevD.57.6280
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179441
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleComputing the spectrum of black hole radiation in the presence of high frequency dispersion: an analytical approach
dc.typetext

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