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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Wiley
2019-01-01
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Series: | Advances in High Energy Physics |
Online Access: | http://dx.doi.org/10.1155/2019/5769564 |
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author | Marina-Aura Dariescu Ciprian Dariescu Cristian Stelea |
author_facet | Marina-Aura Dariescu Ciprian Dariescu Cristian Stelea |
author_sort | Marina-Aura Dariescu |
collection | DOAJ |
description | 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. |
format | Article |
id | doaj-art-eb971da500444bb0a281b9a4aa41a46a |
institution | Kabale University |
issn | 1687-7357 1687-7365 |
language | English |
publishDate | 2019-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in High Energy Physics |
spelling | doaj-art-eb971da500444bb0a281b9a4aa41a46a2025-02-03T01:07:53ZengWileyAdvances in High Energy Physics1687-73571687-73652019-01-01201910.1155/2019/57695645769564Heun-Type Solutions of the Klein-Gordon and Dirac Equations in the Garfinkle-Horowitz-Strominger Dilaton Black Hole BackgroundMarina-Aura Dariescu0Ciprian Dariescu1Cristian Stelea2Faculty of Physics, “Alexandru Ioan Cuza” University, 11 Blvd. Carol I, Iasi 700506, RomaniaFaculty of Physics, “Alexandru Ioan Cuza” University, 11 Blvd. Carol I, Iasi 700506, RomaniaResearch Department, Faculty of Physics, “Alexandru Ioan Cuza” University, 11 Blvd. Carol I, Iasi 700506, RomaniaWe 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.http://dx.doi.org/10.1155/2019/5769564 |
spellingShingle | Marina-Aura Dariescu Ciprian Dariescu Cristian Stelea Heun-Type Solutions of the Klein-Gordon and Dirac Equations in the Garfinkle-Horowitz-Strominger Dilaton Black Hole Background Advances in High Energy Physics |
title | Heun-Type Solutions of the Klein-Gordon and Dirac Equations in the Garfinkle-Horowitz-Strominger Dilaton Black Hole Background |
title_full | Heun-Type Solutions of the Klein-Gordon and Dirac Equations in the Garfinkle-Horowitz-Strominger Dilaton Black Hole Background |
title_fullStr | Heun-Type Solutions of the Klein-Gordon and Dirac Equations in the Garfinkle-Horowitz-Strominger Dilaton Black Hole Background |
title_full_unstemmed | Heun-Type Solutions of the Klein-Gordon and Dirac Equations in the Garfinkle-Horowitz-Strominger Dilaton Black Hole Background |
title_short | Heun-Type Solutions of the Klein-Gordon and Dirac Equations in the Garfinkle-Horowitz-Strominger Dilaton Black Hole Background |
title_sort | heun type solutions of the klein gordon and dirac equations in the garfinkle horowitz strominger dilaton black hole background |
url | http://dx.doi.org/10.1155/2019/5769564 |
work_keys_str_mv | AT marinaauradariescu heuntypesolutionsofthekleingordonanddiracequationsinthegarfinklehorowitzstromingerdilatonblackholebackground AT cipriandariescu heuntypesolutionsofthekleingordonanddiracequationsinthegarfinklehorowitzstromingerdilatonblackholebackground AT cristianstelea heuntypesolutionsofthekleingordonanddiracequationsinthegarfinklehorowitzstromingerdilatonblackholebackground |