Mathematics – Logic
Scientific paper
Oct 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997jmp....38.5256c&link_type=abstract
Journal of Mathematical Physics, Vol. 38, No. 10, p. 5256 - 5271
Mathematics
Logic
56
Cosmological Models: Inflationary Universe
Scientific paper
The authors shall study spatially homogeneous cosmological models containing a self-interacting scalar field with an exponential potential of the form V(φ) = Λ ekφ. The asymptotic properties of these models are discussed. In particular, their possible isotropization and inflation are investigated for all values of the parameter k. A particular class of models is analyzed qualitatively using the theory of dynamical systems, illustrating the general asymptotic behavior.
Coley Alan A.
Ibáñez Jesus
van den Hoogen R. J.
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