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Kerr-Schild Double Copy and Complex Worldlines

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arxiv 1910.04197 v2 pith:RGW76ESH submitted 2019-10-09 hep-th

Ibrahima Bah , Ross Dempsey , Peter Weck This is my paper · ORCID
classification hep-th
keywords kerr-schildconditioncopydoublesinglebackgroundsblackcomplex
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We use the classical double copy to identify a necessary condition for Maxwell theory sources to constitute single copies of Kerr-Schild solutions to Einstein's equations. In the case of four-dimensional Kerr-Schild spacetimes on Minkowski backgrounds, we extend this condition to a parameterization of the corresponding single copies. These are given by Li\'enard-Wiechert fields of charges on complex worldlines. This unifies the known instances of the Kerr-Schild double copy black holes on flat four-dimensional backgrounds into a single framework. Furthermore, we use the more generic condition identified to show why the black ring in five dimensions does not admit Kerr-Schild coordinates.

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  1. Time-dependent solutions of biadjoint scalar field theories

    hep-th 2025-02 accept novelty 6.0 of 10

    New plane-wave-type exact solutions of generalized biadjoint scalar field theory are constructed, including bounded profiles, using elliptic, tanh, and rational functions.

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