Cosmological dynamics of fourth order gravity

Abstract

We discuss the dynamical system approach applied to 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.

Review submitted to a volume in honour of S D Odintsov on the occasion of his 50th birthday

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Cited by in corpus (6)

• Cosmological evolution in R^2 gravity
• Cosmology of $f(R,\square R)$ gravity
• Stable super-inflating cosmological solutions in f(R)-gravity
• Observable Quantities in Weyl Gravity
• Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation
• Congruence Kinematics in Conformal Gravity