Physics
Scientific paper
Apr 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cqgra..17.1815v&link_type=abstract
Classical and Quantum Gravity, Volume 17, Issue 8, pp. 1815-1825 (2000).
Physics
6
Scientific paper
We investigate the dynamics of a class of Robertson-Walker spacetimes containing multiple scalar fields and ordinary barotropic matter. The potentials for the scalar fields are assumed to be of an exponential form that are multiplicatively coupled. In this case the effective scalar field potential for the m scalar fields icons/Journals/Common/phi" ALT="phi" ALIGN="TOP"/> j , (1icons/Journals/Common/leq" ALT="leq" ALIGN="TOP"/> jicons/Journals/Common/leq" ALT="leq" ALIGN="TOP"/> m ), has the form V eff = icons/Journals/Common/prod" ALT="prod" ALIGN="TOP"/> j = 1 m V 0 ekj icons/Journals/Common/phi" ALT="phi" ALIGN="TOP"/> j . We show that the power-law inflationary solution is the local attractor if icons/Journals/Common/sum" ALT="sum" ALIGN="TOP"/> j = 1 m kj 2 < 2. In particular, in the case of two scalar fields, we show that the power-law inflationary solution is indeed the global attractor and hence we make the argument that the power-law inflationary solution is also the global attractor in the m scalar field case. If icons/Journals/Common/sum" ALT="sum" ALIGN="TOP"/> j = 1 m kj 2 > 2 then we further argue that the curvature scaling solution is the global attractor for the open or negatively curved models. If icons/Journals/Common/sum" ALT="sum" ALIGN="TOP"/> j = 1 m kj 2 > 2 then we show that the global attractor for the flat or zero-curvature models is either a power-law solution, a matter scaling solution, or a massless scalar field solution.
Filion Laura
van den Hoogen R. J.
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