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arXiv · 0903.0270

Cosmological scaling solutions in generalised Gauss-Bonnet gravity theories

Kotub Uddin·James E. Lidsey·Reza Tavakol
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Abstract

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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Kotub Uddin, James E. Lidsey, Reza Tavakol. 2009-04-14. Cosmological scaling solutions in generalised Gauss-Bonnet gravity theories. https://doi.org/10.1007/s10714-009-0803-0

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