Rotating Black Holes: Separable Wave Equations for Gravitational and Electromagnetic Perturbations

Saul A. Teukolsky
Phys. Rev. Lett. 29, 1114 – Published 16 October 1972
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Abstract

Separable wave equations with source terms are presented for electromagnetic and gravitational perturbations of an uncharged, rotating black hole. These equations describe the radiative field completely, and also part of the nonradiative field. Nontrivial, source-free, stationary perturbations are shown not to exist. The barrier integral governing synchrotron radiation from particles in circular orbits is shown to be the same as for scalar radiation. Future applications (stability of rotating black holes, "spin-down," superradiant scattering, floating orbits) are outlined.

  • Received 10 July 1972

DOI:https://doi.org/10.1103/PhysRevLett.29.1114

©1972 American Physical Society

Authors & Affiliations

Saul A. Teukolsky

  • California Institute of Technology, Pasadena, California 91109

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Issue

Vol. 29, Iss. 16 — 16 October 1972

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