TY - JOUR
T1 - Absorption cross section in gravity’s rainbow from confluent Heun equation
AU - Amado, Julián Barragán
AU - Kwon, Kihong
AU - Gwak, Bogeun
N1 - Publisher Copyright:
© 2024 IOP Publishing Ltd.
PY - 2024/2/1
Y1 - 2024/2/1
N2 - 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 .
AB - 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 .
KW - absorption cross section
KW - confluent Heun equation
KW - rainbow gravity
UR - http://www.scopus.com/inward/record.url?scp=85182757618&partnerID=8YFLogxK
U2 - 10.1088/1361-6382/ad1b92
DO - 10.1088/1361-6382/ad1b92
M3 - Article
AN - SCOPUS:85182757618
SN - 0264-9381
VL - 41
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
IS - 3
M1 - 035005
ER -