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arXiv · 2103.00217

Gravitoelectromagnetic knot fields

Adina Crisan·Cresus Godinho·Ion Vancea
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Abstract

We construct a class of knot solutions of the gravitoelectromagnetic (GEM) equations in vacuum in the linearized gravity approximation by analogy with the Ra\~{n}ada-Hopf fields. For these solutions, the dual metric tensors of the bi-metric geometry of the gravitational vacuum with knot perturbations are given and the geodesic equation as a function of two complex parameters of the GEM knots are calculated. Finally, the Landau--Lifshitz pseudo-tensor and a scalar invariant of the GEM knots are computed.

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BibTeXRIS

Adina Crisan, Cresus Godinho, Ion Vancea. 2021-02-27. Gravitoelectromagnetic knot fields. https://doi.org/10.3390/universe7030046

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