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

Andr\'e A. Costa; H. S. Vieira; V. B. Bezerra

arxiv: 1312.4823 · v1 · pith:3UGDE3UMnew · submitted 2013-12-17 · 🌀 gr-qc

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

V. B. Bezerra , H. S. Vieira , Andr\'e A. Costa This is my paper

classification 🌀 gr-qc

keywords blackholespacetimechargedconfluentequationfunctionsgiven

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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 regions near the event horizon and far from the black hole.

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