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Time-Periodic Einstein–Klein–Gordon Bifurcations of Kerr

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Abstract

We construct one-parameter families of solutions to the Einstein–Klein–Gordon equations bifurcating off the Kerr solution such that the underlying family of spacetimes are each an asymptotically flat, stationary, axisymmetric, black hole spacetime, and such that the corresponding scalar fields are non-zero and time-periodic. An immediate corollary is that for these Klein–Gordon masses, the Kerr family is not asymptotically stable as a solution to the Einstein–Klein–Gordon equations.

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ, 08544, USA

    Otis Chodosh & Yakov Shlapentokh-Rothman

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  1. Otis Chodosh
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  2. Yakov Shlapentokh-Rothman
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Correspondence to Otis Chodosh.

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Communicated by P. T. Chrusciel

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Chodosh, O., Shlapentokh-Rothman, Y. Time-Periodic Einstein–Klein–Gordon Bifurcations of Kerr. Commun. Math. Phys. 356, 1155–1250 (2017). https://doi.org/10.1007/s00220-017-2998-3

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