de Sitter relativity in static charts
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.
European Physical Journal C
- Pub Date:
- February 2018
- General Relativity and Quantum Cosmology
- 20 pages, 2 figure. to be published in EPJC. arXiv admin note: text overlap with arXiv:1706.01785