Analytic solutions in the dyon black hole with a cosmic string: scalar fields, Hawking radiation and energy flux

Abstract

Charged massive scalar fields are considered in the gravitational and electromagnetic field produced by a dyonic black hole with a cosmic string along its axis of symmetry. Exact solutions of both angular and radial parts of the covariant Klein-Gordon equation in this background are obtained, and are given in terms of the confluent Heun functions. The role of the presence of the cosmic string in these solutions is showed up. From the radial solution, we obtain the exact wave solutions near the exterior horizon of the black hole, and discuss the Hawking radiation spectrum and the energy flux.

arXiv comment21 pages. arXiv admin note: substantial text overlap with arXiv:1405.7846, arXiv:1401.5397, arXiv:1406.6884

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• Reply to "Comment on "Effects of cosmic-string framework on the thermodynamical properties of anharmonic oscillator using the ordinary statistics and the q-deformed superstatistics approaches""
• Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
• Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity
• Scattering and bound states of a spin--1/2 neutral particle in the cosmic string spacetime
• Analytic solutions in the acoustic black hole analogue of the conical Kerr metric
• Resonant frequencies of the hydrodynamic vortex
• Scalar resonant frequencies and Hawking effect of an $f(R)$ global monopole