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Journal of Mathematical Physics -- June 1989 -- Volume 30, Issue 6, pp. 1301-1305
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Mode stability of the Kerr black hole
- Bernard F. Whiting
- Institute of Field Physics, Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599-3255
(Received 3 January 1989; accepted 8 February 1989)
Separate differential and integral transformations are introduced for the individual radial and angular equations governing the (infinitesimally) gauge invariant Newman–Penrose quantities which represent massless perturbations of the Kerr black hole. Using these new transformations it is shown, without need for numerical investigation or reference to the analytic behavior of the separation constant, that no unstable mode perturbations exist for any physical value of the spin of massless fields on the rotating black hole background.
Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
doi:10.1063/1.528308
PACS:
04.20.-q, 97.60.Lf, 02.90.+p
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