ar X iv : 0 90 3 . 02 70 v 2 [ gr - q c ] 1 4 A pr 2 00 9 Cosmological scaling solutions in generalised Gauss - Bonnet gravity theories

نویسنده

  • Reza Tavakol
چکیده

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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M ar 2 00 9 Cosmological scaling solutions in generalised Gauss - Bonnet gravity theories

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 ...

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تاریخ انتشار 2009