de Sitter relativity in static charts
Abstract
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.
- Publication:
-
European Physical Journal C
- Pub Date:
- February 2018
- DOI:
- 10.1140/epjc/s10052-018-5582-x
- arXiv:
- arXiv:1708.06638
- Bibcode:
- 2018EPJC...78...95C
- Keywords:
-
- General Relativity and Quantum Cosmology
- E-Print:
- 20 pages, 2 figure. to be published in EPJC. arXiv admin note: text overlap with arXiv:1706.01785