de Sitter geodesics in stereographic charts

Abstract

It is shown that the stereographic coordinates on the $(1+3)$-dimensional de Sitter spacetime induce, in the parametric equations of all the timelike geodesics, artificial singularities which do not have any physical motivation.

References in corpus (8)

• de Sitter special relativity
• Special Relativity in the 21${}^{\mathrm{st}}$ century
• The physical meaning of the de Sitter invariants
• Conservation laws and scattering for de Sitter classical particles
• Rest frames and relativistic effects on de Sitter spacetimes
• de Sitter geodesics
• de Sitter relativity in central charts
• Anti-de Sitter relativity

Cited by in corpus (1)

• Solvable two-particle systems with time-asymmetric interactions in de Sitter space