HOMOGENEOUS SCALAR FIELD COSMOLOGIES WITH AN EXPONENTIAL POTENTIAL

Citation
Aa. Coley et al., HOMOGENEOUS SCALAR FIELD COSMOLOGIES WITH AN EXPONENTIAL POTENTIAL, Journal of mathematical physics, 38(10), 1997, pp. 5256-5271
Citations number
28
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
38
Issue
10
Year of publication
1997
Pages
5256 - 5271
Database
ISI
SICI code
0022-2488(1997)38:10<5256:HSFCWA>2.0.ZU;2-I
Abstract
We shall study spatially homogeneous cosmological models containing a self-interacting scalar field with an exponential potential of the for m V(phi) = Lambda e(k phi). The asymptotic properties of these models are discussed. In particular, their possible isotropization and inflat ion are investigated for all values of the parameter k. A particular c lass of models is analyzed qualitatively using the theory of dynamical systems, illustrating the general asymptotic behavior. (C) 1997 Ameri can Institute of Physics.