Rest frames and relativistic effects on de Sitter spacetimes

Abstract

It is shown that the Nachtmann boosting method of introducing coordinates on de Siter manifolds can be completed with suitable gauge transformations able to keep under control the transformation under isometries of the conserved quantities. With this method, the rest local charts (or natural frames) are defined pointing out the role of the conserved quantities in investigating the relative geodesic motion. The advantages of this approach can be seen from the applications presented here. For the first time, the simple kinematic effects, the electromagnetic field of a free falling charge and the binary fission are solved in terms of conserved quantities on the expanding portion of the de Sitter spacetime.

10 pages (revtex4-1) no figures, accepted for publication in EPJC. arXiv admin note: text overlap with arXiv:1604.00882

References in corpus (4)

• de Sitter special relativity
• The physical meaning of the de Sitter invariants
• Acceleration in de Sitter spacetimes
• Non-relativistic Geodesic Behaviors for a Massive Charged Particle Falling in de Sitter Spacetime

Cited by in corpus (11)

• Light from Schwarzschild Black Holes in de Sitter expanding universe
• de Sitter geodesics
• de Sitter relativity in central charts
• Anti-de Sitter relativity
• Light from Reissner-Nordstrom-de Sitter black holes
• Kinematics in spatially flat FLRW space-time
• Longitudinal Doppler effect in de Sitter expanding universe
• Quantum theory of redshift in de Sitter expanding universe
• de Sitter geodesics in stereographic charts
• Simple kinematic effects on de Sitter expanding universe
• Collective classical motion on hyperbolic spacetimes of any dimensions