Covariant velocity and density perturbations in quasi-Newtonian cosmologies

Roy Maartens*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Recently a covariant approach to cold matter universes in the zero-shear hypersurfaces (or longitudinal) gauge has been developed. This approach reveals the existence of an integrability condition, which does not appear in standard non-covariant treatments. A simple derivation and generalization of the integrability condition is given, based on showing that the quasi-Newtonian models are a sub-class of the linearized "silent" models. The solution of the integrability condition implies a propagation equation for the acceleration. It is shown how the velocity and density perturbations are then obtained via this propagation equation. The density perturbations acquire a small relative-velocity correction on all scales, arising from the fully covariant general relativistic analysis.

Original languageEnglish
Article number124006
Pages (from-to)124006
JournalPhysical Review D
Issue number12
Publication statusPublished - 15 Dec 1998


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