The flatness problem and $Λ$

Details The flatness problem and $Λ$ The flatness problem and $Λ$

2004-04-15

arxiv.org/abs/astro-ph/0404319v5

Phys.Rev.Lett. 94 (2005) 201102

Astronomy and Astrophysics

Astrophysics

Final form to appear in Physical Review Letters. Further information at http://grtensor.org/Robertson/

Scientific paper

10.1103/PhysRevLett.94.201102

By way of a complete integration of the Friedmann equations, in terms of observables, it is shown that for the cosmological constant $\Lambda > 0$ there exist non-flat FLRW models for which the total density parameter $\Omega$ remains $\sim 1$ throughout the entire history of the universe. Further, it is shown that in a precise quantitative sense these models are not finely tuned. When observations are brought to bear on the theory, and in particular the WMAP observations, they confirm that we live in just such a universe. The conclusion holds when the classical notion of $\Lambda$ is extended to dark energy.

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