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arXiv · 2307.12824

Absorption cross section in gravity's rainbow from confluent Heun equation

Kihong Kwon·Julián Barragán Amado·Bogeun Gwak
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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.

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Kihong Kwon, Julián Barragán Amado, Bogeun Gwak. 2023-07-24. Absorption cross section in gravity's rainbow from confluent Heun equation. https://doi.org/10.1088/1361-6382%2Fad1b92

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