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Preprints, Working Papers, ... Year : 2017

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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Dates and versions

hal-01637022 , version 1 (17-11-2017)

Identifiers

  • HAL Id : hal-01637022 , version 1

Cite

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