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

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

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...

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Veröffentlicht in:Advances in High Energy Physics 2019-01, Vol.2019 (2019), p.1-8
Hauptverfasser: Dariescu, Marina-Aura, Stelea, Cristian, Dariescu, Ciprian
Format: Artikel
Sprache:eng
Schlagworte:
Black holes
Cosmology
Dilatons
Dirac equation
Electromagnetism
Gravitational waves
High energy physics
Mathematical analysis
Physics
Spacetime
Theory of relativity
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Zusammenfassung: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.
ISSN:1687-7357
1687-7365
DOI:10.1155/2019/5769564