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

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.

Heun Functions

References in corpus (5)

• Hawking Radiation, Effective Actions and Covariant Boundary Conditions
• Hawking radiation of linear dilaton black holes
• Hawking radiation in GHS blackhole, Effective action and Covariant Boundary condition
• Solution of the Dirac equation in the rotating Bertotti-Robinson spacetime
• Local Approach to Hawking Radiation

Cited by in corpus (3)

• Analytical solutions in rotating linear dilaton black holes: resonant frequencies, quantization, greybody factor, and Hawking radiation
• Analytical Solutions in a Cosmic String Born-Infeld-dilaton Black Hole Geometry: Quasinormal Modes and Quantization
• Resonant frequencies of a charged scalar field in the Garfinkle-Horowitz-Strominger dilaton black hole