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Journal of High Energy Physics

, 2014:121

First Online: 22 September 2014Received: 01 August 2014Accepted: 03 September 2014 Abstract

Wu black hole is the most general solution of maximally supersymmetric gauged supergravity in D=5, containing U1 gauge symmetry. We study the separability of the massless Klein-Gordon equation and probe its singularities for a general stationary, axisymmetric metric with orthogonal transitivity, and apply the results to the Wu black hole solution. We start with the zero azimuthal-angle eigenvalues in the scalar field Ansatz and find that the residuum of a pole in the radial equation is associated with the surface gravity calculated at this horizon. We then generalize our calculations to nonzero azimuthal eigenvalues and probing each horizon singularity, we show that the residua of the singularities for each horizon are in general associated with a specific combination of the surface gravity and the angular velocities at the associated horizon. It turns out that for the Wu black hole both the radial and angular equations are general Heun’s equations with four regular singularities.

KeywordsBlack Holes in String Theory Supergravity Models ArXiv ePrint: 1407.8173

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Author: Tolga Birkandan - Mirjam Cvetič

Source: https://link.springer.com/



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