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Home > Advances in High Energy Physics (Hindawi) > 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 $SO(\mathrm{3,1})\times U(\mathrm{1})-$ 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.

**Published in: ****Advances in High Energy Physics 2019 (2019) 5769564**
**Published by: **Hindawi

**DOI: **10.1155/2019/5769564

**arXiv: **1812.06852

**License: **CC-BY-3.0