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Recent Work on Kerr Stability and Superradiant Wave Scattering

Published online by Cambridge University Press:  07 February 2017

William H. Press
William H. Press*
Affiliation:
California Institute of Technology, Pasadena, Calif., U.S.A.

Abstract

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As a stopgap measure until a rigorous analytic determination is made, Teukolsky and I have tested the dynamical stability of the Kerr metric under small perturbations numerically (Press and Teukolsky, 1973). We find that it is stable for all a ≤ M. We have also computed the magnitude of electromagnetic and gravitational-wave amplification in superradiant scattering, and Bardeen has independently obtained identical results (Teukolsky, 1973; Teukolsky et al., 1974). The amplification ranges up to ~2% for electromagnetism (l=m=1) and up to 140% for gravitation (l=m=2); these values are also consistent with Starobinsky's (1973) results for the value of critical frequencies.

Type
Part II: Stability and Collapse
Information
Symposium - International Astronomical Union , Volume 64: Gravitational Radiation and Gravitational Collapse , 1974 , pp. 93
Copyright
Copyright © Reidel 1974 

References

Press, W. H. and Teukolsky, S. A.: 1973, Astrophys. J. 185, 649.Google Scholar
Starobinsky, A. A.: 1973, Zh.E.T.F. 65, 3.Google Scholar
Teukolsky, S. A.: 1973, unpublished Ph.D. Thesis, available from University Microfilms, Inc., Ann Arbor, Michigan.Google Scholar
Teukolsky, S. A., Bardeen, J. M., and Press, W.: 1974, in preparation.Google Scholar