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Rotational velocity fields of galaxies and projective geometry of spacetime

Abstract : Relativistic localizing systems show that the pseudo-Riemannian geometry of spacetime is somehow encapsulated in the projective geometry of a Cartan connection space (generalized Cartan space). In this paper, we present fits of rotational velocity fields of galaxies based on a modification of the Newton's law of gravitation such that it becomes equivariant with respect to the homographic transformations induced by this projective geometry.
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https://hal.inria.fr/hal-01637022
Contributor : Jacques Rubin <>
Submitted on : Friday, November 17, 2017 - 11:23:45 AM
Last modification on : Monday, October 12, 2020 - 10:28:54 AM
Long-term archiving on: : Sunday, February 18, 2018 - 2:07:08 PM

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Jacques Rubin. Rotational velocity fields of galaxies and projective geometry of spacetime. 2017. ⟨hal-01637022⟩

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