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arXiv · 1708.06638

de Sitter relativity in central charts

Ion I. Cotaescu
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Abstract

The relative geodesic motion in central charts (i.e. static and spherically symmetric) 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 paticle 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 central charts.

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Ion I. Cotaescu. 2018-01-25. de Sitter relativity in central charts. https://doi.org/10.1140/epjc%2Fs10052-018-5582-x

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