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Journal Articles Physical Review D Year : 2008

Bulk dominated fermion emission on a Schwarzschild background

H.T. Cho
  • Function : Author
J. Doukas
  • Function : Author
W. Naylor
  • Function : Author

Abstract

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.

Dates and versions

in2p3-00172422 , version 1 (17-09-2007)

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H.T. Cho, A.S. Cornell, J. Doukas, W. Naylor. Bulk dominated fermion emission on a Schwarzschild background. Physical Review D, 2008, 77, pp.016004. ⟨10.1103/PhysRevD.77.016004⟩. ⟨in2p3-00172422⟩
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