General relativistic analysis of peculiar velocities

Details General relativistic analysis of peculiar velocities General relativistic analysis of peculiar velocities

2001-05-23

arxiv.org/abs/gr-qc/0105083v2

Class.Quant.Grav. 18 (2001) 5115-5124

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1088/0264-9381/18/23/308

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.

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