de Sitter relativity in central charts
General Relativity and Quantum Cosmology
2018-01-29 v2
Abstract
The relative geodesic motion in central charts (i.e. static and spherically symmetric) 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 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.
Cite
@article{arxiv.1708.06638,
title = {de Sitter relativity in central charts},
author = {Ion I. Cotaescu},
journal= {arXiv preprint arXiv:1708.06638},
year = {2018}
}
Comments
20 pages, 2 figure. to be published in EPJC. arXiv admin note: text overlap with arXiv:1706.01785