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Cosmological scaling solutions of nonminimally coupled scalar fields

Jean-Philippe Uzan
(
- Geneva U. and
- Meudon Observ.
)

Mar, 1999

13 pages

Published in:

Phys.Rev.D 59 (1999) 123510

e-Print:

gr-qc/9903004 [gr-qc]

DOI:

10.1103/PhysRevD.59.123510

Report number:

UGVA-DPT-1998-12-1022

View in:

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Abstract: (arXiv)

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.

field theory: scalar
scaling: stability
potential
asymptotic behavior
phase space
numerical calculations

References(35)

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