# Heun-Type Solutions of the Klein-Gordon and Dirac Equations in the Garfinkle-Horowitz-Strominger Dilaton Black Hole Background

Stelea, Cristian  (Research Department, Faculty of Physics, “Alexandru Ioan Cuza” University, 11 Blvd. Carol I, Iasi 700506, Romania) ; Dariescu, Marina-Aura  (Faculty of Physics, “Alexandru Ioan Cuza” University, 11 Blvd. Carol I, Iasi 700506, Romania) ; Dariescu, Ciprian (Faculty of Physics, “Alexandru Ioan Cuza” University, 11 Blvd. Carol I, Iasi 700506, Romania)

26 February 2019

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 $SO\left(\mathrm{3,1}\right)×U\left(\mathrm{1}\right)-$ 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.

Published in: Advances in High Energy Physics 2019 (2019) 5769564