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Vacuum gravitational fields with a null Killing vector

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arxiv 1910.00561 v3 pith:LTCBRBXQ submitted 2019-10-01 gr-qc

G. Dautcourt This is my paper · ORCID
classification gr-qc
keywords wavesgravitationalfieldscoordinatesfoundkillingplanetwisted
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Vacuum gravitational fields admitting a light-like Killing field were systematically studied starting around 1960. Besides the already known plane waves, a second class of gravitational wave fields was found. In contrast to plane waves, their wave surfaces were not flat, but had a negative Gaussian curvature. Recently, such solutions found attention again as "twisted gravitational waves". In the paper we review and extend the earlier results. In suitable coordinates, the metric assumes a simple shape. The waves are then determined by a single function that satisfies a Laplace equation in cylindrical coordinates. The "twisted waves" prove to be a special case.

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  1. Elliptically Polarized Plane Gravitational Waves

    gr-qc 2025-01 accept novelty 6.0 of 10

    Exact elliptically polarized plane gravitational wave solutions exhibit a cosmic jet effect: generic timelike and null geodesics asymptotically align with the propagation direction at speed c.

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