Bounding the greybody factors for Schwarzschild black holes

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.

5 pages; revtex4; V2 - two references added

References in corpus (10)

• The physical interpretation of the spectrum of black hole quasinormal modes
• Analogue model of a FRW universe in Bose-Einstein condensates: Application of the classical field method
• Cosmological particle production in emergent rainbow spacetimes
• Bounding the Bogoliubov coefficients
• Trans-Planckian physics and signature change events in Bose gas hydrodynamics
• Greybody factors at large imaginary frequencies
• The generalized Heun equation in QFT in curved space-times
• Exact Solutions of Regge-Wheeler Equation
• Slowly Rotating Homogeneous Stars and the Heun Equation
• Integral relations and new solutions to the double-confluent Heun equation

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