FRW models in the conformal frame of f(R) gravity

Details FRW models in the conformal frame of f(R) gravity FRW models in the conformal frame of f(R) gravity

Feb 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011jphcs.283a2024m&link_type=abstract

Journal of Physics: Conference Series, Volume 283, Issue 1, pp. 012024 (2011).

Physics

Scientific paper

We study the late time evolution of Friedmann-Robertson-Walker (FRW) models with a perfect fluid matter source and a scalar field arising in the conformal frame of f(R) theories nonminimally coupled to matter. We prove using the approach of dynamical systems, that equilibria corresponding to non-negative local minima for V are asymptotically stable. We show that if γ, the parameter of the equation of state is larger than one, then there is a transfer of energy from the fluid to the scalar field and the latter eventually dominates. The results are valid for a large class of nonnegative potentials without any particular assumptions about the behavior of the potential at infinity.

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