# Wave equation for the Wu black hole

@article{Birkandan2014WaveEF,
title={Wave equation for the Wu black hole},
author={Tolga Birkandan and Mirjam Cveti{\vc}},
journal={Journal of High Energy Physics},
year={2014},
volume={2014},
pages={1-19}
}
• Published 30 July 2014
• Physics
• Journal of High Energy Physics
A bstractWu black hole is the most general solution of maximally supersymmetric gauged supergravity in D=5, containing U(1)3 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…
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## References

SHOWING 1-10 OF 43 REFERENCES
• Physics
• 2014
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.
Separability of black holes in string theory
• Physics
• 2012
A bstractWe analyze the origin of separability for rotating black holes in string theory, considering both massless and massive geodesic equations as well as the corresponding wave equations. We
Black holes in N=8 supergravity from SO(4,4) hidden symmetries
• Physics
• 2014
We detail the construction of the most general asymptotically flat, stationary, rotating, nonextremal, dyonic black hole of the four-dimensional N = 2 supergravity coupled to 3 vector multiplets that
Seed for general rotating non-extremal black holes of $\mathcal {N}= 8$ supergravity
• Physics
• 2013
We describe the most general asymptotically flat, stationary, non-extremal, dyonic black hole of the four-dimensional N=2?> supergravity coupled to three vector multiplets that describes the