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

Bezerra, V.B.; Vieira, H.S.; Costa, André A.

doi:10.1088/0264-9381/31/4/045003

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

Dec 17, 2013

13 pages

Published in:

Class.Quant.Grav. 31 (2014) 4, 045003

Published: Jan 22, 2014

e-Print:

1312.4823 [gr-qc]

DOI:

10.1088/0264-9381/31/4/045003

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Abstract: (IOP)

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.

Note:

13 pages

04.20.Jb
04.70.Dy
02.30.Gp
Klein–Gordon equation
Kerr–Newman metric
Heun’s differential equations
black hole: rotation
black hole: Kerr-Newman
Klein-Gordon equation: solution
field theory: scalar

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Figures(0)

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