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

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

2003-09-05

arxiv.org/abs/hep-ph/0309054v2

JHEP 0310 (2003) 014

Physics

High Energy Physics

High Energy Physics - Phenomenology

38 pages, Latex file, uses JHEP style, 10 figures, a paragraph removed from the Appendix, references added, typos corrected, v

Scientific paper

10.1088/1126-6708/2003/10/014

We start our analysis by deriving a master equation that describes the motion of a field with arbitrary spin $s$ 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 $n$ 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 $n$ 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 $n$ but always remains smaller than unity -- this provides firm support to earlier arguments made by Emparan, Horowitz and Myers.

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