The Klein-Gordon Equation of a Rotating Charged Hairy Black Hole in (2+1) Dimensions

Abstract

In this paper, we consider the Klein-Gordon equation in a 3D charged rotating hairy black hole background to study behavior of a massive scalar field. In the general case we find periodic-like behavior for the scalar field which may be vanishes at the black hole horizon or far from the black hole horizon. For the special cases of non-rotating or near horizon approximation we find radial solution of Klein-Gordon equation in terms of hypergeometric and Kummer functions. Also for the case of uncharged black hole we find numerical solution of the Klein-Gordon equation as periodic function which may enhanced out of the black hole or vanish at horizon. We find allowed boundary conditions which yield to the identical bosons described by scalar field.

11 pages, 4 figures

References in corpus (2)

• Hawking Radiation of Spin-1 Particles From Three Dimensional Rotating Hairy Black Hole
• Thermodynamics of rotating black holes with scalar hair in three dimensions

Cited by in corpus (8)

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• Thermodynamics of higher dimensional black holes with higher order thermal fluctuations
• Thermodynamics of Higher Order Entropy Corrected Schwarzschild-Beltrami-de Sitter Black Hole
• PV criticality of the second order quantum corrected Horava-Lifshitz black hole
• Modified Cosmic Chaplygin AdS Black Hole
• Scalar resonant frequencies and Hawking effect of an $f(R)$ global monopole
• The temperature and entropy corrections on the charged hairy black holes
• On Hawking Radiation of 3D Rotating Hairy Black Holes