Cosmological scaling solutions in generalised Gauss-Bonnet gravity theories

Details Cosmological scaling solutions in generalised Gauss-Bonnet gravity theories Cosmological scaling solutions in generalised Gauss-Bonnet gravity theories

2009-03-02

arxiv.org/abs/0903.0270v2

Gen.Rel.Grav.41:2725-2736,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages and 5 figures

Scientific paper

10.1007/s10714-009-0803-0

The conditions for the existence and stability of cosmological power-law scaling solutions are established when the Einstein-Hilbert action is modified by the inclusion of a function of the Gauss-Bonnet curvature invariant. The general form of the action that leads to such solutions is determined for the case where the universe is sourced by a barotropic perfect fluid. It is shown by employing an equivalence between the Gauss-Bonnet action and a scalar-tensor theory of gravity that the cosmological field equations can be written as a plane autonomous system. It is found that stable scaling solutions exist when the parameters of the model take appropriate values.

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