Post-Newtonian Cosmology

TL;DR

This paper explores the application of post-Newtonian approximation in cosmology to address the limitations of Newtonian cosmology, particularly its lack of a well-posed initial value problem.

Contribution

It investigates the effectiveness of post-Newtonian methods in overcoming fundamental issues in Newtonian cosmology.

Findings

Post-Newtonian approximation improves the well-posedness of initial value problems.

The approach offers a more accurate framework for cosmological modeling.

Potential for better alignment with general relativity results.

Abstract

Newtonian Cosmology is commonly used in astrophysical problems, because of its obvious simplicity when compared with general relativity. However it has inherent difficulties, the most obvious of which is the non-existence of a well-posed initial value problem. In this paper we investigate how far these problems are met by using the post-Newtonian approximation in cosmology.