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.

8 pages, LaTeX2e (iopart); minor changes, matches version accepted for publication by Classical and Quantum Gravity

References in corpus (3)

• Formulae for Growth Factors In Expanding Universes Containing Matter and a Cosmological Constant
• Density Contrast-Peculiar Velocity Relation in the Newtonian Gauge
• The mildly nonlinear imprint of structure on the CMB: the $O(\ell )$ couplings are lensing and aberration

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