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arXiv · 1511.05692

Exact solutions to a massive charged scalar field equation in the magnetically charged stringy black hole geometry and Hawking radiation

I. Sakalli·A. Al-Badawi
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Abstract

Exact solutions of a massive complex scalar field equation in the geometry of a Garfinkle-Horowitz-Strominger (stringy) black hole with magnetic charge is explored. The separated radial and angular parts of the wave equation are solved exactly in the non-extreme case. The angular part is shown to be an ordinary spin-weighted spheroidal harmonics with a spin-weight depending on the magnetic charge. The radial part is achieved to reduce a confluent Heun equation with a multiplier. Finally, based on the solutions, it is shown that Hawking temperature of the magnetically charged stringy black hole has the same value as that of the Schwarzschild black hole.

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I. Sakalli, A. Al-Badawi. 2016-02-12. Exact solutions to a massive charged scalar field equation in the magnetically charged stringy black hole geometry and Hawking radiation. https://doi.org/10.1139/p09-024

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