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

TL;DR

This paper derives exact solutions for a massive charged scalar field in a magnetically charged stringy black hole spacetime, revealing that its Hawking temperature matches that of a Schwarzschild black hole, thus providing insights into quantum fields in string-inspired black hole geometries.

Contribution

It provides exact analytical solutions for scalar fields in a stringy black hole background and shows the Hawking temperature is unaffected by magnetic charge.

Findings

Exact solutions for scalar wave equations in stringy black hole geometry.

Angular solutions are spin-weighted spheroidal harmonics with charge-dependent spin.

Hawking temperature remains the same as Schwarzschild black hole.

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.