Bounding the greybody factors for Schwarzschild black holes
Petarpa Boonserm (Victoria University of Wellington), Matt Visser, (Victoria University of Wellington)
TL;DR
This paper derives rigorous bounds on greybody factors for Schwarzschild black holes, accounting for particle spin, wave mode, frequency, and black hole mass, enhancing understanding of Hawking radiation modifications.
Contribution
It provides the first rigorous bounds on greybody factors for various spins and modes in Schwarzschild geometry, extending previous approximate analyses.
Findings
Bounds depend on spin, mode, frequency, and mass
Results improve understanding of Hawking radiation spectra
Provides a mathematical framework for future studies
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 L, deriving rigourous bounds on the greybody factors as a function of S, L, wave frequency (omega), and the black hole mass, m.
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