Non-Null Torus Knotted Gravitational Waves from Gravitoelectromagnetism
General Relativity and Quantum Cosmology
2025-02-17 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this paper, we construct a non-null torus-knotted gravitational monochromatic wave solution of the linearized Einstein equations in vacuum, employing the gravitoelectromagnetic (GEM) framework by analogy with classical electrodynamics. We derive the geometric objects, including the line element, the Riemann tensor, the Ricci tensor, the Ricci scalar, and the geodesic equation for this background. Also, we investigate two properties inherent to this solution due to its GEM origin: the dual GEM potential and GEM helicity.
Cite
@article{arxiv.2502.10347,
title = {Non-Null Torus Knotted Gravitational Waves from Gravitoelectromagnetism},
author = {R. S. Facundo and I. V. Vancea},
journal= {arXiv preprint arXiv:2502.10347},
year = {2025}
}
Comments
23 pages