General relativistic analysis of peculiar velocities
Abstract
We give a careful general relativistic and (1+3)-covariant analysis of cosmological peculiar velocities induced by matter density perturbations in the presence of a cosmological constant. In our quasi-Newtonian approach, constraint equations arise to maintain zero shear of the non-comoving fundamental worldlines which define a Newtonian-like frame, and these lead to the (1+3)-covariant dynamical equations, including a generalized Poisson-type equation. We investigate the relation between peculiar velocity and peculiar acceleration, finding the conditions under which they are aligned. In this case we find (1+3)-covariant relativistic generalizations of well-known Newtonian results.
Keywords
Cite
@article{arxiv.gr-qc/0105083,
title = {General relativistic analysis of peculiar velocities},
author = {George F R Ellis and Henk van Elst and Roy Maartens},
journal= {arXiv preprint arXiv:gr-qc/0105083},
year = {2009}
}
Comments
8 pages, LaTeX2e (iopart); minor changes, matches version accepted for publication by Classical and Quantum Gravity