On the equations governing the electromagnetic perturbations of the Kerr black hole

Details On the equations governing the electromagnetic perturbations of the Kerr black hole On the equations governing the electromagnetic perturbations of the Kerr black hole

May 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976rspsa.349..217d&link_type=abstract

Royal Society (London), Proceedings, Series A, vol. 349, no. 1657, May 4, 1976, p. 217-230. Research supported by the University

Astronomy and Astrophysics

Astronomy

16

Black Holes (Astronomy), Electromagnetic Fields, Gravitational Fields, Perturbation Theory, Potential Fields, Wave Equations, Field Theory (Physics), Rotating Bodies, Transformations (Mathematics)

Scientific paper

Teukolsky's (1973) radial wave equation for electromagnetic perturbations about a rotating black hole is transformed into a one-dimensional wave equation with a real and short-range potential. A general technique for transforming one wave equation into another is described, and it is shown how an equation with a complex potential can be transformed into one with a purely real potential. These general techniques are then used to transform Teukolsky's equation into a wave equation whose potential is purely real and of short range. This equation is found to provide a simple formulation of the concepts of superradiant scattering and the conservation of energy underlying the present electromagnetic perturbations. It is noted that the techniques employed are general enough to be applicable when the spin weight is plus or minus 2, making a 'real-potential' formulation of the problem of gravitational perturbations about a Kerr black hole most likely.

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