Scalar fields in the Lense-Thirring background with a cosmic string and Hawking radiation
1 Departamento de Física, Universidade Federal da Paraíba - Caixa Postal 5008, CEP 58051-970, João Pessoa, PB, Brazil
2 Instituto de Física, Universidade de São Paulo - Caixa Postal 66318, CEP 05315-970, São Paulo, SP, Brazil
Received: 16 January 2015
Accepted: 23 March 2015
We analyze the influence of the gravitational field produced by a slowly rotating black hole with a cosmic string along the axis of symmetry on a massive scalar field. Exact solutions of both angular and radial parts of the Klein-Gordon equation in this spacetime are obtained, and are given in terms of the confluent Heun functions. We emphasize the role of the presence of the cosmic string in these solutions. We also investigate the solutions in regions near and far from the event horizon. From the radial solution, we obtain the exact wave solutions near the exterior horizon of the black hole, and discuss the Hawking radiation of massive scalar particles.
PACS: 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics / 11.27.+d – Extended classical solutions; cosmic strings, domain walls, texture / 04.20.Jb – Exact solutions
© EPLA, 2015