Physical meaning of the conserved quantities on anti-de Sitter geodesics

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.

4 pages (revtex4-1) no figures, to be published in PRD

References in corpus (2)

• The physical meaning of the de Sitter invariants
• The bizarre anti-de Sitter spacetime

Cited by in corpus (5)

• de Sitter geodesics
• de Sitter relativity in central charts
• Anti-de Sitter relativity
• Covariant fields on anti-de Sitter spacetimes
• Collective classical motion on hyperbolic spacetimes of any dimensions