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

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

2009-05-31

arxiv.org/abs/0906.0134v1

Gen.Rel.Grav.41:2017-2030,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages. Fully hyperlinked. Dedicated to the memory of J\"urgen Ehlers. To appear in the upcoming Special Issue of "General R

Scientific paper

10.1007/s10714-009-0828-4

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.

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