paper

Hawking Radiation from a (4+n)-dimensional Black Hole: Exact Results for the Schwarzschild Phase

arXiv:hep-ph/0309054 · doi:10.1088/1126-6708/2003/10/014

Abstract

We start our analysis by deriving a master equation that describes the motion of a field with arbitrary spin on a 3-brane embedded in a non-rotating, uncharged (4+n)-dimensional black hole background. By numerical analysis, we derive exact results for the greybody factors and emission rates for scalars, fermions and gauge bosons emitted directly on the brane, for all energy regimes and for an arbitrary number of extra dimensions. The relative emissivities on the brane for different types of particles are computed and their dependence on the dimensionality of spacetime is demonstrated -- we therefore conclude that both the amount and the type of radiation emitted can be used for the determination of if the Hawking radiation from these black holes is observed. The emission of scalar modes in the bulk from the same black holes is also studied and the relative bulk-to-brane energy emissivity is accurately computed. We demonstrate that this quantity varies considerably with but always remains smaller than unity -- this provides firm support to earlier arguments made by Emparan, Horowitz and Myers.

arXiv comment38 pages, Latex file, uses JHEP style, 10 figures, a paragraph removed from the Appendix, references added, typos corrected, version published in JHEP

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