On the Radial Solutions of the Dirac Equation in the Kerr-Newman Black Hole Surrounded by a Cloud of Strings
In this paper, we obtain the metric of the space-time generated by a charged and rotating gravitational body surrounded by a loud of strings, namely, the Kerr–Newman black hole space-time with the addition of a cloud of strings. In this background, we find the radial solutions of the Dirac equation...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/2/187 |
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| author | Saulo S. de Albuquerque Filho Valdir Barbosa Bezerra Jefferson Morais Toledo |
| author_facet | Saulo S. de Albuquerque Filho Valdir Barbosa Bezerra Jefferson Morais Toledo |
| author_sort | Saulo S. de Albuquerque Filho |
| collection | DOAJ |
| description | In this paper, we obtain the metric of the space-time generated by a charged and rotating gravitational body surrounded by a loud of strings, namely, the Kerr–Newman black hole space-time with the addition of a cloud of strings. In this background, we find the radial solutions of the Dirac equation for massive particles and show that they are given in terms of the Generalized Heun functions. The dependence of these solutions on the parameter that codifies the presence of the cloud of strings is pointed out. |
| first_indexed | 2024-03-11T09:09:47Z |
| format | Article |
| id | doaj.art-3993c3877d43442f95c653d6534e04f1 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T09:09:47Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-3993c3877d43442f95c653d6534e04f12023-11-16T19:06:30ZengMDPI AGAxioms2075-16802023-02-0112218710.3390/axioms12020187On the Radial Solutions of the Dirac Equation in the Kerr-Newman Black Hole Surrounded by a Cloud of StringsSaulo S. de Albuquerque Filho0Valdir Barbosa Bezerra1Jefferson Morais Toledo2Departmento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa 58059-900, PB, BrazilDepartmento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa 58059-900, PB, BrazilDepartmento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa 58059-900, PB, BrazilIn this paper, we obtain the metric of the space-time generated by a charged and rotating gravitational body surrounded by a loud of strings, namely, the Kerr–Newman black hole space-time with the addition of a cloud of strings. In this background, we find the radial solutions of the Dirac equation for massive particles and show that they are given in terms of the Generalized Heun functions. The dependence of these solutions on the parameter that codifies the presence of the cloud of strings is pointed out.https://www.mdpi.com/2075-1680/12/2/187dirac equation in curved space-timesblack holes with a cloud of stringsheun functions |
| spellingShingle | Saulo S. de Albuquerque Filho Valdir Barbosa Bezerra Jefferson Morais Toledo On the Radial Solutions of the Dirac Equation in the Kerr-Newman Black Hole Surrounded by a Cloud of Strings Axioms dirac equation in curved space-times black holes with a cloud of strings heun functions |
| title | On the Radial Solutions of the Dirac Equation in the Kerr-Newman Black Hole Surrounded by a Cloud of Strings |
| title_full | On the Radial Solutions of the Dirac Equation in the Kerr-Newman Black Hole Surrounded by a Cloud of Strings |
| title_fullStr | On the Radial Solutions of the Dirac Equation in the Kerr-Newman Black Hole Surrounded by a Cloud of Strings |
| title_full_unstemmed | On the Radial Solutions of the Dirac Equation in the Kerr-Newman Black Hole Surrounded by a Cloud of Strings |
| title_short | On the Radial Solutions of the Dirac Equation in the Kerr-Newman Black Hole Surrounded by a Cloud of Strings |
| title_sort | on the radial solutions of the dirac equation in the kerr newman black hole surrounded by a cloud of strings |
| topic | dirac equation in curved space-times black holes with a cloud of strings heun functions |
| url | https://www.mdpi.com/2075-1680/12/2/187 |
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