The nearly flat universe

Details The nearly flat universe The nearly flat universe

2005-01-20

arxiv.org/abs/gr-qc/0501061v1

Gen.Rel.Grav.37:1491-1503,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 5 figures

Scientific paper

10.1007/s10714-005-0189-6

We study here what it means for the Universe to be nearly flat, as opposed to exactly flat. We give three definitions of nearly flat, based on density, geometry and dynamics; all three definitions are equivalent and depend on a single constant flatness parameter epsilon that quantifies the notion of nearly flat. Observations can only place an upper limit on epsilon, and always allow the possibility that the Universe is infinite with k=-1 or finite with k=1. We use current observational data to obtain a numerical upper limit on the flatness parameter and discuss its implications, in particular the "naturalness" of the nearly flat Universe.

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