TITLE:
Compact Non-Linear Gravitomagnetic Fields as Dark Matter
AUTHORS:
Stuart Marongwe, Phil Bouchard
KEYWORDS:
Dark Matter, Non-Linear Gravito-Electromagnetism, Ricci Soliton, Baryonic Tully-Fisher Relation, Milgrom’s Constant
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.11 No.3,
July
25,
2025
ABSTRACT: We introduce a model of dark matter inspired by non-linear gravito-electromagnetism formulation of Roy Maartens and Bruce Bassett. The model is a fully covariant 1 + 3 electromagnetic analogy of gravity characterized by Weyl gravito-electric and gravito-magnetic spatial tensor fields in which the Bianchi identities are the dynamical equations. The nonlinear rotationally invariant vacuum Bianchi equations describe the properties of space-time within a given locality. We identify the compact gravito-magneto field as a Ricci soliton in Einstein’s field equations that describes dark matter. This component provides the extra gravity which is currently attributed to a variety of theorized forms of non-baryonic matter collectively known as dark matter.