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Exact Conformal Scalar Field Cosmologies

João P. Abreu·Paulo Crawford·José P. Mimoso
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Abstract

New exact solutions of Einstein's gravity coupled to a self-interacting conformal scalar field are derived in this work. Our approach extends a solution-generating technique originally introduced by Bekenstein for massless conformal scalar fields. Solutions are obtained for a Friedmann-Robertson-Walker geometry both for the cases of zero and non-zero curvatures, and a variety of interesting features are found. It is shown that one class of solutions tends asymptotically to a power-law inflationary behaviour $S(t)\sim t^p$ with $p>1$, while another class exhibits a late time approach to the $S(t)\sim t$ behaviour of the coasting models. Bouncing models which avoid an initial singularity are also obtained. A general discussion of the asymptotic behaviour and of the possibility of occurrence of inflation is provided.

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João P. Abreu, Paulo Crawford, José P. Mimoso. 1994-01-25. Exact Conformal Scalar Field Cosmologies. https://doi.org/10.1088/0264-9381%2F11%2F8%2F002

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