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

2018/12/17 by Marina-Aura Dariescu, Marina–Aura Dariescu, Ciprian Dariescu +4
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Mathematical Physics Problems #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.1812.06852

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

openalex publication_date 2018/12/17 · arxiv created 2019/02/11 · arxiv updated 2019/02/12 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28

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) × 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.

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