Alvarenga, F.G., de la Cruz-Dombriz, A., Houndjo, M.J.S., Rodrigues, M.E. and Sáez-Gómez, D. (2013) Dynamics of Scalar Perturbations in Gravity. Physical Review D, 87, Article 103526.
https://doi.org/10.1103/physrevd.87.103526

has been cited by the following article:

• 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.