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Twisted Gravitational Waves in the Presence of a Cosmological Constant

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arxiv 1904.01249 v4 pith:SC7BZJEI submitted 2019-04-02 gr-qc astro-ph.COhep-th

classification gr-qcastro-ph.COhep-th
keywords constantcosmologicalpresencesolutionswavefindgravitationalnegative
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We find exact nonlinear solutions of general relativity that represent twisted gravitational waves (TGWs) in the presence of a cosmological constant. A TGW is a nonplanar wave propagating along a fixed spatial direction with a null Killing wave vector that has a nonzero twist tensor. The solutions all turn out to have wave fronts with negative Gaussian curvature. Among the classes of solutions presented in this paper, we find a unique class of simple conformally flat TGWs that is due to the presence of a negative cosmological constant and therefore represents part of anti-de Sitter spacetime. The properties of this special solution are studied in detail.

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Cited by 1 Pith paper

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  1. Cosmic Jets in General Relativity

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Free particles and scalar waves in Kasner and plane-wave spacetimes asymptotically align into jets that move at nearly the speed of light relative to fiducial observers.

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