Conformal Invariance and Near-extreme Rotating AdS Black Holes

Abstract

We obtain retarded Green's functions for massless scalar fields in the background of near-extreme, near-horizon rotating charged black holes of five-dimensional minimal gauged supergravity. The radial part of the (separable) massless Klein-Gordon equation in such general black hole backgrounds is Heun's equation, due to the singularity structure associated with the three black hole horizons. On the other hand, we find the scaling limit for the near-extreme, near-horizon background where the radial equation reduces to a Hypergeometric equation whose $SL(2,\mathbf{R}{)}^2$ symmetry signifies the underlying two-dimensional conformal invariance, with the two sectors governed by the respective Frolov-Thorne temperatures.

10 pages, the version published in Phys. Rev. D

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• Energy eigenfunctions for position-dependent mass particles in a new class of molecular hamiltonians
• General Hidden Conformal Symmetry of 4D Kerr-Newman and 5D Kerr Black Holes
• Holographic description of three dimensional Godel black hole
• Symbolic and Numerical Analysis in General Relativity with Open Source Computer Algebra Systems
• An Analysis of the Wave Equation for the $U(1{)}^2$ Gauged Supergravity Black Hole
• Wave Equation for the Wu Black Hole
• Thermodynamics of nonspherical black holes from Liouville theory
• Addentum to: Conformal Invariance and Near-extreme Rotating AdS Black Holes
• Physical Problems Admitting Heun-to-Hypergeometric Reduction
• Symbolic analysis of second-order ordinary differential equations with polynomial coefficients
• Analysis of scalar fields with series convolution