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arXiv · 1406.5208

Addentum to: Conformal Invariance and Near-extreme Rotating AdS Black Holes

Tolga Birkandan·Mirjam Cvetič
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Abstract

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. D84, 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 $u_k$ ($k=1,2,3$) and at infinity. We derived explicitly that the residuum of a pole at each $u_k$ is associated with the surface gravity there. In this addendum, probing regular singularities at each $u_k$ 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.

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Tolga Birkandan, Mirjam Cvetič. 2014-09-13. Addentum to: Conformal Invariance and Near-extreme Rotating AdS Black Holes. https://doi.org/10.1103/physrevd.90.067504

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