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

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.

arXiv comment3 pages. Matches the published version

References in corpus (8)

• General Non-Extremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
• General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String
• General Rotating Black Holes in String Theory: Greybody Factors and Event Horizons
• Entropy of Non-Extreme Charged Rotating Black Holes in String Theory
• Greybody factors for rotating black holes in four dimensions
• Black Hole Scattering from Monodromy
• Black Hole Monodromy and Conformal Field Theory
• Conformal Invariance and Near-extreme Rotating AdS Black Holes

Cited by in corpus (3)

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• Symbolic analysis of second-order ordinary differential equations with polynomial coefficients