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Cosmological scaling solutions of non-minimally coupled scalar fields

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arxiv gr-qc/9903004 v1 pith:DKC2U5TI submitted 1999-03-01 gr-qc

Jean-Philippe Uzan (Departement de Physique Theorique , Universite de Geneve) This is my paper · ORCID
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keywords scalarscalingsolutionscasecosmologicalcoupledexponentialfield
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abstract

We study the existence and stability of cosmological scaling solutions of a non-minimally coupled scalar field evolving in either an exponential or inverse power law potential. We show that for inverse power law potentials there exist scaling solutions the stability of which does not depend on the coupling constant $\xi$. We then study the more involved case of exponential potentials and show that the scalar field will assymptotically behaves as a barotropic fluid when $\xi\ll 1$. The general case $\xi\not\ll 1$ is then discussed an we illustrate these results by some numerical examples.

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Cited by 2 Pith papers

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