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.

13 pages, 3 figures

References in corpus (4)

• Scalar Emission in the Bulk in a Rotating Black Hole Background
• Split fermion quasi-normal modes
• Wave dynamics of a six-dimensional black hole localized on a tensional three-brane
• Quasi-normal modes of a black hole localized on a codimension-two brane of finite tension

Cited by in corpus (5)

• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• Greybody Factors for Rotating Black Holes on Codimension-2 Branes
• Bulk scalar emission from a rotating black hole pierced by a tense brane
• Fermion excitations of a tense brane black hole
• Fermion evaporation of a black hole off a tense brane