Bulk dominated fermion emission on a Schwarzschild background

Details Bulk dominated fermion emission on a Schwarzschild background Bulk dominated fermion emission on a Schwarzschild background

2007-09-11

arxiv.org/abs/0709.1661v1

Phys.Rev.D77:016004,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 3 figures

Scientific paper

10.1103/PhysRevD.77.016004

Using the WKBJ approximation, and the Unruh method, we obtain semi-analytic expressions for the absorption probability (in all energy regimes) for Dirac fermions on a higher dimensional Schwarzschild background. We present an analytic expression relating the absorption probability to the absorption cross-section, and then use these results to plot the emission rates to third order in the WKBJ approximation. The set-up we use is sufficiently general such that it could also easily be applied to any spherically symmetric background in $d$-dimensions. Our results lead to the interesting conclusion that for $d>5$ bulk fermion emission dominates brane localised emission. This is an example contrary to the conjecture that black holes radiate mainly on the brane.

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