General relativistic analysis of peculiar velocities

GFR Ellis, H van Elst, R Maartens

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)5115-5123
JournalClassical and Quantum Gravity
Issue number23
Publication statusPublished - 7 Dec 2001


Dive into the research topics of 'General relativistic analysis of peculiar velocities'. Together they form a unique fingerprint.

Cite this