Homogeneous scalar field cosmologies with an exponential potential.

Mathematics – Logic

Scientific paper

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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.

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