Estudos relativos à influência de campos gravitacionais de buracos negros sobre sistemas quânticos

• Ano de defesa: 2014
• Autor(a) principal: Vieira, Horácio Santana
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal da Paraí­ba; BR; Física; Programa de Pós-Graduação em Física; UFPB
• Palavras-chave em Português: Buraco negro; Campo escalar massivo; Equação de Klein- Gordon; Equação diferencial de Heun; Radiação de buraco negro; Black hole; Massive scalar field; Klein-Gordon equation; Heun s differential equation; Black hole radiation; CIENCIAS EXATAS E DA TERRA::FISICA
• Link de acesso: https://repositorio.ufpb.br/jspui/handle/tede/5743

In this dissertation we consider the influence of gravitational fields due to the black holes of Kerr-Newman and Kerr-Newman-de Sitter, on a massive scalar field, with and without charge. We obtain the exact solutions of the radial Klein-Gordon equation in the spacetime of Kerr-Newman which are given in terms of the confluent Heun functions. In the particular case of a extreme Kerr-Newman black hole, the solution is given in terms of double confluent Heun functions. We also investigate the solutions close to the exterior event horizon and very far from the black hole. For a charged scalar field, we obtain exact solutions corresponding to the angular Klein-Gordon equation in the Kerr-Newman-de Sitter spacetime which are given in terms of the Heun functions. Using a method due to Damour and Ruffini, we study the Hawking radiation of massive scalar particles. In the Kerr-Newman black hole, we obtain the exact solutions for both the angular and radial Klein-Gordon equations, which are given in terms of the confluent Heun functions. From the radial solution, we obtain the exact wave solutions near to the exterior horizon of the black hole, and discuss the Hawking radiation of charged massive scalar particles.