Wave equation for the Wu black hole View Full Text


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Article Info

DATE

2014-09

AUTHORS

Tolga Birkandan, Mirjam Cvetič

ABSTRACT

Wu 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 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. More... »

PAGES

121

References to SciGraph publications

  • 2012-09. Conformal symmetry for black holes in four dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-10. Separability of black holes in string theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-02. Charged rotating AdS black hole and its thermodynamics in conformal gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-02. Conformal symmetry for general black holes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-07. Conformal symmetry of a black hole as a scaling limit: a black hole in an asymptotically conical box in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-09-18. Greybody factors and charges in Kerr/CFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-07. On the universality of inner black hole mechanics and higher curvature gravity in JOURNAL OF HIGH ENERGY PHYSICS
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