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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, deriving rigorous bounds on the greybody factors as a function of s, , wave frequency, and the black-hole mass m.
Boonserm et al. (Fri,) studied this question.