Physics
Scientific paper
Jan 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978rspsa.358..441c&link_type=abstract
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 358, Issue 1695, pp. 441-465
Physics
10
Scientific paper
The present paper completes the integration of the linearized Newman-Penrose equations governing the gravitational perturbations of the Kerr black hole. The equations which determine the solutions are the four (complex) Bianchi identities (not used in part I) and the 24 equations which follow from the commutation relations. The principal results are (1) the demonstration that the perturbation in the Weyl scalar Psi 2 must vanish in a gauge in which the scalars Psi 1 and Psi 3 are assumed to vanish identically; (2) the determination of the relative normalization of the radial functions (left unspecified in part I) through an integrability condition. Further, the solution to the integrability condition defines a function involving quadratures over Teukolsky's radial and angular functions; and it is in terms of this function that the perturbations in the metric coefficients are determined.
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