Velocity addition formulas in Robertson-Walker spacetimes
General Relativity and Quantum Cosmology
2015-07-10 v1 Mathematical Physics
math.MP
Abstract
Universal velocity addition formulas analogous to the well-known formula in special relativity are found for four geometrically defined relative velocities in a large class of Robertson-Walker spacetimes. Explicit examples are given. The special relativity result is recovered as a special case, and it is shown that the spectroscopic relative velocity, in contrast to three other geometric relative velocities, follows the same addition law as in special relativity for comoving observers in Robertson-Walker cosmologies.
Keywords
Cite
@article{arxiv.1503.05208,
title = {Velocity addition formulas in Robertson-Walker spacetimes},
author = {David Klein and Jake Reschke},
journal= {arXiv preprint arXiv:1503.05208},
year = {2015}
}
Comments
26 pages, 5 figures