Anthropic Reasons for Non-Zero Flatness and Lambda

Details Anthropic Reasons for Non-Zero Flatness and Lambda Anthropic Reasons for Non-Zero Flatness and Lambda

2001-10-22

arxiv.org/abs/astro-ph/0110497v2

Phys.Rev. D65 (2002) 123501

Astronomy and Astrophysics

Astrophysics

7 pages, 5 figures, Corrected sign error and made necessary modifications. This version is accepted for publication in Phys.Re

Scientific paper

10.1103/PhysRevD.65.123501

In some cosmological theories with varying constants there are anthropic reasons why the expansion of the universe must not be too {\it close} to flatness or the cosmological constant too close to zero. Using exact theories which incorporate time-variations in $\alpha $ and in $G$ we show how the presence of negative spatial curvature and a positive cosmological constant play an essential role in bringing to an end variations in the scalar fields driving time change in these 'constants' during any dust-dominated era of a universe's expansion. In spatially flat universes with $\Lambda =0$ the fine structure constant grows to a value which makes the existence of atoms impossible.

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