Gravitoelectromagnetic knot fields
General Relativity and Quantum Cosmology
2021-03-02 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Classical Physics
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.
Cite
@article{arxiv.2103.00217,
title = {Gravitoelectromagnetic knot fields},
author = {Adina Crisan and Cresus Godinho and Ion Vancea},
journal= {arXiv preprint arXiv:2103.00217},
year = {2021}
}
Comments
22 pages. Published in the Special Issue "Frame-Dragging and Gravitomagnetism"