Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-01-25
Class.Quant.Grav.11:1919-1940,1994
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Latex, 27 pages plus 16 figures (not included, available from the authors upon request) DFFCUL-94-01-01
Scientific paper
10.1088/0264-9381/11/8/002
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.
Abreu João P.
Crawford Paulo
Mimoso José P.
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