Newtonian and Post-Newtonian approximations of the k = 0 Friedmann Robertson Walker Cosmology

Abstract

In a previous paper we derived a post-Newtonian approximation to cosmology which, in contrast to former Newtonian and post-Newtonian cosmological theories, has a well-posed initial value problem. In this paper, this new post-Newtonian theory is compared with the fully general relativistic theory, in the context of the k = 0 Friedmann Robertson Walker cosmologies. It is found that the post-Newtonian theory reproduces the results of its general relativistic counterpart, whilst the Newtonian theory does not.

11 pages, Latex, corrected typos

References in corpus (3)

• Newtonian Cosmology in Lagrangian Formulation: Foundations and Perturbation Theory
• Post-Newtonian Cosmology
• Cosmological PPN Formalism and Non-Machian Gravitational Theories

Cited by in corpus (5)

• Light propagation in statistically homogeneous and isotropic dust universes
• Applicability of the linearly perturbed FRW metric and Newtonian cosmology
• Light propagation and the average expansion rate in near-FRW universes
• Entropic force and its cosmological implications
• Anisotropic Homogeneous Cosmologies in the Post-Newtonian Approximation