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The stability of Kerr’s space-time with |a| < M , in the usual notation, against infinitesimal perturbations is discussed. No exponentially growing ‘normal modes’ occur. However, since (a) the exponentially decaying modes have not been shown to be complete, (b) there are normal modes with real frequencies, the stability of the Kerr space-time has not been established rigorously.
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A 1975 study studied this question.
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