Geometrical order-of-magnitude estimates for spatial curvature in realistic models of the Universe

TL;DR

This paper provides order-of-magnitude estimates for spatial curvature in realistic cosmological models, emphasizing its significance in structure formation since matter-radiation decoupling.

Contribution

It introduces plausible estimates for geometrical scalars and discusses the application of quasi-Newtonian metrics in modeling spatial curvature.

Findings

Spatial curvature plays a significant role in structure formation.

Order-of-magnitude estimates help assess the impact of curvature.

Quasi-Newtonian metrics are relevant in this context.

Abstract

The thoughts expressed in this article are based on remarks made by J\"urgen Ehlers at the Albert-Einstein-Institut, Golm, Germany in July 2007. The main objective of this article is to demonstrate, in terms of plausible order-of-magnitude estimates for geometrical scalars, the relevance of spatial curvature in realistic models of the Universe that describe the dynamics of structure formation since the epoch of matter-radiation decoupling. We introduce these estimates with a commentary on the use of a quasi-Newtonian metric form in this context.