Some remarks on the dynamical systems approach to fourth order gravity

Abstract

Building on earlier work, we discuss a general framework for exploring the cosmological dynamics of Higher Order Theories of Gravity. We show that once the theory of gravity has been specified, the cosmological equations can be written as a first-order autonomous system and we give several examples which illustrate the utility of our method. We also discuss a number of results which have appeared recently in the literature.

19 pages, LaTeX

References in corpus (6)

• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Conditions for the cosmological viability of f(R) dark energy models
• The evolution of density perturbations in f(R) gravity
• Analysis of Rotation Curves in the framework of R^n gravity
• Cosmological dynamics of Scalar--Tensor Gravity
• The evolution of cosmological gravitational waves in f(R) gravity