Algumas contribuições ao estudo do comportamento de sistemas quânticos na presença de um buraco negro com rotação

• Autor(a) principal: Costa, André Alencar da
• Data de Publicação: 2010
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UFPB
• Texto Completo: https://repositorio.ufpb.br/jspui/handle/tede/5770
• topic: Buraco Negro com Rotação; Espaço-Tempo de Kerr; Equação de Klein-Gordon; Sistemas Quânticos em Espaços Curvos; Rotating Black Hole; Kerr Spacetime; Klein-Gordon Equation; Quantum Systems in Curved Space; CIENCIAS EXATAS E DA TERRA::FISICA

This paper deals with the influence of the gravitational field produced by a rotating black hole on quantum systems. More specifically, are considered scalar quantum particles, which are described by the Klein-Gordon equation. Initially, it was shown a way by which is possible to obtain the Kerr metric, which characterize a rotating black hole. Still on the Kerr metric, it was studied some important properties of this spacetime. Was then obtained the exact solution of the Klein-Gordon equation in the Kerr spacetime, which is given in terms of the confluent Heun s functions and, in the particular case of extreme Kerr, was obtained that the solution of the Klein-Gordon equation in this spacetime is given by the doubly confluent Heun s functions. For the Klein-Gordon equation in the Kerr spacetime, it was verified that the solution is consistent with results already known in the literature for regions near the event horizon and at infinity. Moreover, due to the difficulties inherent in the Kerr metric, was considered the limit where the black hole has low rotational speed, resulting in the metric of Lense-Thirring. In this situation, using an asymptotic method and a method in series, were obtained approximate solutions that describe the behavior of scalar quantum particles in the presence of the gravitational field produced by the body. Finally, some physical effects in Kerr spacetime were considered.