Author(s)

Stuart Marongwe^1*, Phil Bouchard²

¹Physics Department, University of Botswana, Gaborone, Botswana.
²Fornux Inc., Montreal, Canada.

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.

Dark Matter, Non-Linear Gravito-Electromagnetism, Ricci Soliton, Baryonic Tully-Fisher Relation, Milgrom’s Constant

Marongwe, S. and Bouchard, P. (2025) Compact Non-Linear Gravitomagnetic Fields as Dark Matter. Journal of High Energy Physics, Gravitation and Cosmology, 11, 1031-1038. doi: 10.4236/jhepgc.2025.113066.