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Cosmological scaling solutions in generalised Gauss--Bonnet gravity theories
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Uddin, Kotub, Lidsey, James E. and Tavakol, Reza (2009) Cosmological scaling solutions in generalised Gauss--Bonnet gravity theories. General Relativity and Gravitation, 41 (12). pp. 2725-2736. doi:10.1007/s10714-009-0803-0 ISSN 0001-7701.
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Official URL: http://dx.doi.org/10.1007/s10714-009-0803-0
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.
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > WMG (Formerly the Warwick Manufacturing Group) | ||||||
Journal or Publication Title: | General Relativity and Gravitation | ||||||
Publisher: | Springer | ||||||
ISSN: | 0001-7701 | ||||||
Official Date: | 27 April 2009 | ||||||
Dates: |
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Volume: | 41 | ||||||
Number: | 12 | ||||||
Page Range: | pp. 2725-2736 | ||||||
DOI: | 10.1007/s10714-009-0803-0 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access |
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