Heun-type solutions of the Klein--Gordon and Dirac equations in the Garfinkle--Horowitz--Strominger dilaton black hole background

Abstract

We study the Klein-Gordon and the Dirac equations in the background of the Garfinkle-Horowitz-Strominger black hole, in the Einstein frame. Using a $SO(3,1)\times U(1)-$gauge covariant approach, as an alternative to the Newman-Penrose formalism for the Dirac equation, it turns out that these solutions can be expressed in terms of Heun confluent functions and we discuss some of their properties.

arXiv comment15 pages, 2 figures. v2. revised version, added references, accepted for publication in Advances in High Energy Physics

References in corpus (1)

• Thirty five classes of solutions of the quantum time-dependent two-state problem in terms of the general Heun functions