A Matter Scalar Field in a Closed Universe

Abstract

We investigate the possibility that the matter of the universe has a significant component (the quintessence component) determined by the equation of state $p=w\rho$, with $w<0$. Here, we find conditions under which a closed model may look like a flat Friedmann-Robertson-Walker universe at low redshift. We study this problem in Einstein's general relativity and Brans-Dicke theories. In both cases we obtain explicit expressions for the quintessence scalar potential $V(Q)$, and the angular size as a function of the redshift.

12 pages, 3 figures, Revtex. To appear in Phys. Rev. D

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