Mathematics – Complex Variables
Scientific paper
Feb 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976rspsa.348...39c&link_type=abstract
Royal Society (London), Proceedings, Series A, vol. 348, no. 1652, Feb. 10, 1976, p. 39-55.
Mathematics
Complex Variables
14
Astrophysics, Black Holes (Astronomy), Electromagnetic Fields, Kerr Effects, Metric Space, Perturbation Theory, Complex Variables, Electromagnetic Wave Transmission, Gravitational Fields, Potential Fields, Scalars, Transformations (Mathematics)
Scientific paper
Teukolsky's equation governing the perturbations (scalar, electromagnetic, and gravitational) of the Kerr black hole is transformed by a simple change of variables so there is formally no difference in the treatments of the axisymmetric and the nonaxisymmetric modes. By considering in detail the case of electromagnetic perturbations, the problems can be reduced to problems in the theory of penetration of one dimensional potential barriers with certain novel features. The phenomenon of super-radiance, peculiar to the Kerr metric, emerges in an unexpected guise. The case of scalar perturbations is considered briefly in an appendix.
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