Bound states in the Kerr metric

Details Bound states in the Kerr metric Bound states in the Kerr metric

Jan 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979phrvd..19..451d&link_type=abstract

Physical Review D (Particles and Fields), Volume 19, Issue 2, 15 January 1979, pp.451-456

Physics

5

Scientific paper

We study the massless Klein-Gordon equation in the Kerr metric with a>M. In the neighborhood of the surface r=M, where a degenerate horizon forms when a=M, the radial equation becomes that of a harmonic oscillator. This applies only to the modes with high angular momentum and low energy; we study the bound states in this potential and derive the energy spectrum. We then consider the limit of a-->M, with the purpose of clarifying some of the properties of a degenerate horizon.

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