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arXiv · 1711.02956

de Sitter geodesics

Ion I. Cotaescu
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Abstract

The geodesics on the $(1+3)$-dimensional de Sitter spacetime are considered studying how their parameters are determined by the conserved quantities in the conformal Euclidean, Friedmann-Lemaître-Robertson-Walker, de Sitter-Painlevé and static local charts with Cartesian space coordinates. Moreover, it is shown that there exist a special static chart in which the geodesics are genuine hyperbolas whose asymptotes are given by the conserved momentum and the associated dual momentum.

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Ion I. Cotaescu. 2017-12-19. de Sitter geodesics. https://doi.org/10.1142/s0217732317502236

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