A Measure on a Subspace of FRW Solutions and ``The Flatness Problem" of Standard Cosmology

Details A Measure on a Subspace of FRW Solutions and ``The Flatness Problem" of Standard Cosmology A Measure on a Subspace of FRW Solutions and ``The Flatness Problem" of Standard Cosmology

1994-09-15

arxiv.org/abs/hep-th/9409091v1

Phys.Rev. D50 (1994) 6144-6149

Physics

High Energy Physics

High Energy Physics - Theory

revtex 16 pages, 1 figure included

Scientific paper

10.1103/PhysRevD.50.6144

We use the metric on the space of gravity fields given by DeWitt to construct a unique kinematic measure on the space of FRW simple fluids and show that when the mass parameter $\Omega$ is used as a coordinate this measure is singular at $\Omega = 1$. This singularity, combined with the time evolution of $\Omega$, distorts distributions of $\Omega$ values to be concentrated in the neighborhood of 1 at early times. It is a distorted distribution of $\Omega$ values that sometimes misleads the casual observer to conclude that $\Omega$ must be exactly equal to 1.

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