Journal Article

Modified conformal cosmology with a positive effective gravitational constant

Peter R. Phillips

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 417, issue 3, pages 2276-2280
Published in print November 2011 | ISSN: 0035-8711
Published online October 2011 | e-ISSN: 1365-2966 | DOI:
Modified conformal cosmology with a positive effective gravitational constant

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The conformal cosmological model presented by Mannheim predicts a negative value for the effective gravitational constant, Geff. We propose a modification of the model, in which the action is no longer invariant under general conformal transformations, but only under uniform dilations. Mannheim’s scalar field, S, can be quantized around the minimum of the effective potential. We obtain a natural set of modes and states by requiring conformal invariance of the equation of motion; this fixes the coefficient of the Rμ μ term in the action, and results in a Geff that is positive. The resulting theory closely resembles the conventional cosmology based on Einstein relativity.

Keywords: cosmology: theory; early Universe

Journal Article.  2704 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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