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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

Kerr-Schild Double Copy and Complex Worldlines

Ibrahima Bah , Ross Dempsey , Peter Weck This is my paper
classification hep-th
keywords kerr-schildconditioncopydoublesinglebackgroundsblackcomplex
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Untwisting the double copy: the zeroth copy as an optical seed

    hep-th 2026-04 unverdicted novelty 7.0

    A single complex optical seed built from expansion and twist organizes stationary Kerr-Schild geometries, reconstructs the congruence, and encodes the zeroth-copy data that generates both the gravitational profile and...

  2. Non-topological solitons in biadjoint scalar field theory

    hep-th 2026-06 unverdicted novelty 6.0

    Biadjoint scalar theory admits a family of non-topological solitons carrying U(1) charge, time-dependent like Q-balls, stable in truncation, with finite localized energy.

  3. Hawking Radiation meets the Double Copy

    hep-th 2025-10 unverdicted novelty 6.0

    Bogoliubov coefficients from scattering a scalar in a collapsing EM background (single copy of Vaidya) match ray-tracing results and connect to Hawking radiation through the double copy.