Covariant velocity and density perturbations in quasi-Newtonian cosmologies

Details Covariant velocity and density perturbations in quasi-Newtonian cosmologies Covariant velocity and density perturbations in quasi-Newtonian cosmologies

1998-08-21

arxiv.org/abs/astro-ph/9808235v1

Phys.Rev. D58 (1998) 124006

Astronomy and Astrophysics

Astrophysics

11 pages Revtex; to appear Phys. Rev. D

Scientific paper

10.1103/PhysRevD.58.124006

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.

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