Simple kinematic effects on de Sitter expanding universe
arXiv:1705.07697 · doi:10.1063/1.5017424
Abstract
Our recent results concerning the transformation under isometries of the conserved quantities on de Sitter manifolds, allow us to define the rest frame and study the relative geodesic motion in terms of conserved momentum, revealing thus various relativistic effects [I. I. Cotaescu, arXiv:1701.08499]. Here we discuss the time dilation (of the twin paradox) and the Lorentz contraction on the de Sitter expanding portions, pointing out the dependence of these effects on the position and moment in which the time and lengths are measured.
11 pages,5 figures, oral contribution at TIM 17 Conference, Timisoara, 25-27 May 2017