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For any sub-extremal Kerr spacetime with non-zero angular momentum, we find an open family of non-zero masses for which there exist smooth, finite energy, and exponentially growing solutions to the corresponding Klein-Gordon equation.
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F. Finster, N. Kamran, J. Smoller, S.-T. Yau Erratum: Decay of solutions of the wave equation in the Kerr geometry Comm. Math. Phys. 280
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