The KleinGordon equation in the spacetime of a charged and rotating black hole
Abstract
This work deals with the influence of the gravitational field produced by a charged and rotating black hole (KerrNewman spacetime) on massive scalar fields. We obtain an exact solution of the KleinGordon equation in this spacetime, which is given in terms of the confluent Heun functions. In the particular case corresponding to an extreme KerrNewman 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.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 February 2014
 DOI:
 10.1088/02649381/31/4/045003
 arXiv:
 arXiv:1312.4823
 Bibcode:
 2014CQGra..31d5003B
 Keywords:

 04.20.Jb;
 04.70.Dy;
 02.30.Gp;
 KleinGordon equation;
 KerrNewman metric;
 Heun's differential equations;
 General Relativity and Quantum Cosmology
 EPrint:
 13 pages