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Cosmological scaling solutions in generalised Gauss–Bonnet gravity theories

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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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Authors and Affiliations

  1. Astronomy Unit, School of Mathematical Sciences, Queen Mary University of London, London, E1 4NS, UK

    Kotub Uddin, James E. Lidsey & Reza Tavakol

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  1. Kotub Uddin
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  2. James E. Lidsey
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  3. Reza Tavakol
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Correspondence to Kotub Uddin.

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Uddin, K., Lidsey, J.E. & Tavakol, R. Cosmological scaling solutions in generalised Gauss–Bonnet gravity theories. Gen Relativ Gravit 41, 2725–2736 (2009). https://doi.org/10.1007/s10714-009-0803-0

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  • DOI: https://doi.org/10.1007/s10714-009-0803-0

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