• DOI:10.1088/0264-9381/31/4/045003
• Corpus ID: 118388975

The Klein-Gordon equation in the spacetime of a charged and rotating black hole

@article{Bezerra2014TheKE,
  title={The Klein-Gordon equation in the spacetime of a charged and rotating black hole},
  author={Valdir Barbosa Bezerra and H. S. Vieira and Andr{\'e} A Costa},
  journal={Classical and Quantum Gravity},
  year={2014},
  volume={31},
  pages={045003}
}

• V. Bezerra, H. S. Vieira, A. Costa
• Published 17 December 2013
• Physics
• Classical and Quantum Gravity

This work deals with the influence of the gravitational field produced by a charged and rotating black hole (Kerr–Newman spacetime) on massive scalar fields. We obtain an exact solution of the Klein–Gordon equation in this spacetime, which is given in terms of the confluent Heun functions. In the particular case corresponding to an extreme Kerr–Newman black hole the solution is given by the double confluent Heun functions. We also investigate the solutions in the regions near the event horizon and far from the black hole.