Spherically symmetric perturbations of matter density and velocity in the isotropically expanding dust universe

Details Spherically symmetric perturbations of matter density and velocity in the isotropically expanding dust universe Spherically symmetric perturbations of matter density and velocity in the isotropically expanding dust universe

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988azh....65..449n&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 65, May-June 1988, p. 449-460. In Russian.

Physics

1

Big Bang Cosmology, Cosmic Dust, Matter (Physics), Universe, Density (Mass/Volume), Evolution (Development), Optical Thickness, Perturbation Theory, Propagation Velocity, Space-Time Functions

Scientific paper

The equations for the evolution of small spherically symmetric perturbations of the space-time metric, density, and velocity of dust matter on the background of the Friedmann universe with zero space curvature are solved in a reference frame comoving unperturbed cosmological background. For classical time dependences in this reference frame, a unique spatial form of the perturbations is found which is invariable with respect to time. It follows from these solutions that the density perturbations increase only in the limits of a causally connected domain. It is shown that this specific form of density perturbation follows from the requirement of the conservation of the invariability condition of perturbation form in the case of transformations of reference frames satisfying the synchronous condition.

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