Cosmological dynamics of R^n gravity

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  • 14 October 2004
Abstract
A detailed analysis of dynamics of cosmological models based on R^n gravity is presented. We show that the cosmological equations can be written as a first order autonomous system and analyzed using standard techniques of dynamical system theory. In absence of perfect fluid matter, we find a family of exact flat solutions along with two other families of non-flat power law solutions. The behavior and stability of these solutions are analyzed in terms of the values of the parameter n. When matter is introduced, the nature of the (non-minimal) coupling between matter and higher order gravity induces restrictions on the allowed values of n. Selecting such intervals of values and following the same procedure used in the vacuum case, we present exact solutions and analyze their stability for a generic value of the parameter n.

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