Absorption cross section in gravity's rainbow from confluent Heun equation
arXiv:2307.12824 · doi:10.1088/1361-6382/ad1b92
Abstract
We investigate the scattering of a massless scalar field by a charged non-rotating black hole in the presence of gravity's rainbow. Using the connection coefficients of the confluent Heun equation expressed in terms of the semi-classical confluent conformal blocks and the instanton part of the Nekrasov-Shatashvili (NS) free energy, we obtain an asymptotic expansion for the low-energy absorption cross section.
19 pages
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- Notes on Quasinormal Modes of charged de Sitter Blackholes from Quiver Gauge Theories