Physical meaning of the conserved quantities on anti-de Sitter geodesics
General Relativity and Quantum Cosmology
2017-06-07 v2
Abstract
The geodesic motion on anti-de Sitter spacetimes is studied pointing out how the trajectories are determined by the ten independent conserved quantities associated to the specific SO(2,3) isometries of these manifolds. The new result is that there are two conserved SO(3) vectors which play the same role as the Runge-Lenz vector of the Kepler problem, determining the major and minor semiaxes of the ellipsoidal anti-de Sitter geodesics.
Keywords
Cite
@article{arxiv.1702.06835,
title = {Physical meaning of the conserved quantities on anti-de Sitter geodesics},
author = {Ion I. Cotaescu},
journal= {arXiv preprint arXiv:1702.06835},
year = {2017}
}
Comments
4 pages (revtex4-1) no figures, to be published in PRD