# de Sitter relativity in static charts

The European Physical Journal C, Feb 2018

The relative geodesic motion in static (and spherically symmetric) local charts on the $(1+3)$-dimensional de Sitter spacetimes is studied in terms of conserved quantities. The Lorentzian isometries are derived, relating the coordinates of the local chart of a fixed observer with the coordinates of a mobile chart considered as the rest frame of a massive particle freely moving on a timelike geodesic. The time dilation and Lorentz contraction are discussed pointing out some notable features of the de Sitter relativity in static charts.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1140%2Fepjc%2Fs10052-018-5582-x.pdf

Ion I. Cotăescu. de Sitter relativity in static charts, The European Physical Journal C, 2018, 95, DOI: 10.1140/epjc/s10052-018-5582-x