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

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...

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Bibliographic Details
Published in:arXiv.org 1999-09
Main Author: Rainsford, Tamath
Format: Article
Language:English
Subjects:
Boundary value problems
Cosmology
Relativism
Relativistic effects
Relativistic theory
Well posed problems
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.9907094