Bounding the greybody factors for Schwarzschild black holes
Petarpa BoonsermSchool of Mathematics, Statistics, and Computer Science, Victoria University of Wellington, P.O. Box 600, Wellington, New ZealandMatt VisserSchool of Mathematics, Statistics, and Computer Science, Victoria University of Wellington, P.O. Box 600, Wellington, New Zealand
2008en
ABI
Abstract
Greybody factors in black-hole physics modify the naive Planckian spectrum that is predicted for Hawking radiation when working in the limit of geometrical optics. We consider the Schwarzschild geometry in $(3+1)$ dimensions, and analyze the Regge-Wheeler equation for arbitrary particle spin $s$ and wave-mode angular momentum $\ensuremath{\ell}$, deriving rigorous bounds on the greybody factors as a function of $s$, $\ensuremath{\ell}$, wave frequency $\ensuremath{\omega}$, and the black-hole mass $m$.
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