https://doi.org/10.1140/epjc/s10052-012-1924-2
Regular Article - Theoretical Physics
Modified f(G) gravity models with curvature–matter coupling
Department of Physics, Liaoning Normal University, Dalian, 116029, P.R. China
* e-mail: ybwu61@163.com
Received:
7
October
2011
Revised:
9
February
2012
Published online:
7
March
2012
A modified f(G) gravity model with coupling between matter and geometry is proposed, which is described by the product of the Lagrange density of the matter and an arbitrary function of the Gauss–Bonnet term. The field equations and the equations of motion corresponding to this model show the non-conservation of the energy-momentum tensor, the presence of an extra force acting on test particles and non-geodesic motion. Moreover, the energy conditions and the stability criterion at the de Sitter point in modified f(G) gravity models with curvature–matter coupling are derived, which can degenerate to the well-known energy conditions in general relativity. Furthermore, in order to get some insight in the meaning of these energy conditions, we apply them to the specific models of f(G) gravity and the corresponding constraints on the models are given. In addition, the conditions and the candidate for late-time cosmic accelerated expansion in modified f(G) gravity are studied by means of conditions of power-law expansion and the equation of state of matter ω smaller than 
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© Springer-Verlag / Società Italiana di Fisica, 2012
