Construction and some properties of the most general homogeneous Newtonian cosmological models
Abstract
Homogeneous Newtonian cosmological models are first analyzed. Homogeneous Newtonian cosmologies are defined in terms of symmetry groups. The first type possesses a transitive symmetry group on the spacelike hypersurface defined by setting the time equal to a constant. This type has two subclasses; they correspond to the relativistic classification of Bianchi type I and Bianchi Type VII, with h = 0. In the second type the spacelike hypersurfaces are not perpendicular to the time axis; the first seven of the Bianchi types are possible. Velocity fields and equations of motion are discussed. Higher order perturbation theory is also discussed. The simplest possible background model is assumed, namely, the Newtonian model which is homogeneous and isotropic dust and which has the cosmological constant zero and the quantity analogous to the curvature equal to zero.
 Publication:

Ph.D. Thesis
 Pub Date:
 1976
 Bibcode:
 1976PhDT........16H
 Keywords:

 Cosmology;
 Newton Theory;
 Equations Of Motion;
 Light Transmission;
 Perturbation Theory;
 Relativity;
 Symmetry;
 Velocity Distribution;
 Astrophysics