The gravitational perturbations of the Kerr black hole. III - Further amplifications

Details The gravitational perturbations of the Kerr black hole. III - Further amplifications The gravitational perturbations of the Kerr black hole. III - Further amplifications

Apr 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979rspsa.365..425c&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences, vol. 365, no. 1723, Apr. 17, 1979, p. 425-45

Astronomy and Astrophysics

Astrophysics

4

Astrophysics, Black Holes (Astronomy), Gravitation Theory, Perturbation Theory, Differential Equations, Functions (Mathematics), Metric Space, Relativity

Scientific paper

The present paper is devoted to an amplification of the solution of the Newman-Penrose equations considered in two earlier papers. The principal amplification consists in showing that the function Psi, in terms of which the metric perturbations are most simply expressed (and which was thought to require quadratures), besides being separable in its variables, is expressible directly in terms of the Teukolsky functions (and eliminates the need for quadratures). It is further shown that the completion of the solution for the metric perturbations requires the consideration of four additional equations which follow from four Ricci identities (not hitherto considered); and the solution of these equations is found. It is also pointed out that while the perturbation in the Weyl scalar can be set equal to zero, it cannot be deduced to be zero. Numerical verification of some of the principal equations and identities of the theory is provided.

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