Regular Article - Theoretical Physics
de Sitter relativity in static charts
West University of Timişoara, V. Pârvan Ave. 4, 300223, Timisoara, Romania
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Accepted: 24 January 2018
Published online: 1 February 2018
The relative geodesic motion in static (and spherically symmetric) local charts on the -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.
© The Author(s), 2018