TY - JOUR
T1 - Addentum to
T2 - Conformal invariance and near-extreme rotating AdS black holes
AU - Birkandan, Tolga
AU - Cvetič, Mirjam
N1 - Publisher Copyright:
© 2014 American Physical Society.
PY - 2014/9/11
Y1 - 2014/9/11
N2 - We obtained retarded Green's functions for massless scalar fields in the background of near-extreme, near-horizon rotating charged black hole of five-dimensional minimal gauged supergravity in Phys. Rev. D 84, 044018 (2011). For general nonextreme black holes, we also derived the radial part of the massless Klein-Gordon equation with zero azimuthal-angle eigenvalues, and showed that it is a general Heun's equation with a regular singularity at each horizon UK (k=1,2,3) and at infinity. We derived explicitly that the residuum of a pole at each UK is associated with the surface gravity there. In this addendum, probing regular singularities at each UK we complete the derivation of the full radial equation with nonzero azimuthal-angle eigenvalues. The residua now include modifications by the angular velocities at respective horizons. This result completes the analysis of the wave equation for the massless Klein-Gordon equation for the general rotating charged black hole of five-dimensional minimal gauged supergravity.
AB - We obtained retarded Green's functions for massless scalar fields in the background of near-extreme, near-horizon rotating charged black hole of five-dimensional minimal gauged supergravity in Phys. Rev. D 84, 044018 (2011). For general nonextreme black holes, we also derived the radial part of the massless Klein-Gordon equation with zero azimuthal-angle eigenvalues, and showed that it is a general Heun's equation with a regular singularity at each horizon UK (k=1,2,3) and at infinity. We derived explicitly that the residuum of a pole at each UK is associated with the surface gravity there. In this addendum, probing regular singularities at each UK we complete the derivation of the full radial equation with nonzero azimuthal-angle eigenvalues. The residua now include modifications by the angular velocities at respective horizons. This result completes the analysis of the wave equation for the massless Klein-Gordon equation for the general rotating charged black hole of five-dimensional minimal gauged supergravity.
UR - http://www.scopus.com/inward/record.url?scp=84907453285&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.90.067504
DO - 10.1103/PhysRevD.90.067504
M3 - Article
AN - SCOPUS:84907453285
SN - 1550-7998
VL - 90
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 6
M1 - 067504
ER -