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Bulk dominated fermion emission on a Schwarzschild background

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.
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http://hal.in2p3.fr/in2p3-00172422
Contributor : Dominique Girod <>
Submitted on : Monday, September 17, 2007 - 10:22:48 AM
Last modification on : Tuesday, November 19, 2019 - 2:37:42 AM

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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, American Physical Society, 2008, 77, pp.016004. ⟨10.1103/PhysRevD.77.016004⟩. ⟨in2p3-00172422⟩

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