Could Darboux's forces be an alternative to the dark matter/energy?

Eric Guiot (1)

1 Chercheur indépendant

We investigate the possibility that the Newtonian potential becomes progressively Harmonic when distances increases, as suggested in the Friedman’equations. Transition between the two potentials is describe by the forces of Darboux. Model doesn’t need dark matter or dark energy, allows to conserve energy and angular momentum and leads to flat curves of rotation at the periphery of galaxies. Dark matter is replaced by an increasing of ratio gravitational/inertial mass linked to the modification of potential.

Mots clés: Central force; conic; dark matter; force of gravitation; galaxies; modified gravitation; PACS Number:0470Kd

Domaines: Astrophysique galactique [astro-ph.GA]

Eric Guiot. Could Darboux's forces be an alternative to the dark matter/energy?. 2019. ⟨hal-01322401v4⟩