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

Julián Barragán Amado, Kihong Kwon, Bogeun Gwak

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 free energy, we obtain an asymptotic expansion for the low-energy absorption cross section. Furthermore, we consider the resummation of the instanton contributions to the absorption cross section, which gives the area of the black hole up to a factor of ( 4 / 3 ) 2 .

Original languageEnglish
Article number035005
JournalClassical and Quantum Gravity
Volume41
Issue number3
DOIs
StatePublished - 1 Feb 2024

Keywords

  • absorption cross section
  • confluent Heun equation
  • rainbow gravity

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