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Keplerian Motion Inside an Isolated Dark Matter Halo and the Hubble’s Law

Saoussan Kallel-Jallouli
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Saoussan Kallel-Jallouli: Faculté des Sciences de Tunis, Department of Mathematics, Université de Tunnis El Manar, LR03ES04, Tunis, 2092, Tunisia

International Journal of Research and Scientific Innovation, 2024, vol. 11, issue 9, 1225-1235

Abstract: : Recently, the existence of a new kind of staff, named “Zaman†, responsible for time variation by its spin, was established. The proposed model offered a suitable solution for the Dark Matter enigma. In this work, we generalize the previously solid body rotating spherical halo U to a differential rotation, where each spherical shell of radius R has a length of the day T(R) related to R with the Kepler’s relation: . We prove that the linear Hubble’s relation, , is just a consequence of our new “time†-model, and does not need any special hypothesis nor any special non Euclidean topology on U.

Date: 2024
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