On the Radial Solutions of the Dirac Equation in the Kerr-Newman Black Hole Surrounded by a Cloud of Strings
Author:
Filho Saulo S. de Albuquerque1ORCID,
Bezerra Valdir Barbosa1ORCID,
Toledo Jefferson Morais1ORCID
Affiliation:
1. Departmento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa 58059-900, PB, Brazil
Abstract
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.
Funder
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
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