Homogeneous cosmologies in generalized modified gravity

Abstract

Dynamical system methods are used in the study of the stability of spatially flat homogeneous cosmologies within a large class of generalized modified gravity models in the presence of a relativistic matter-radiation fluid. The present approach can be considered as the generalization of previous works in which only $F(R)$ cases were considered. Models described by an arbitrary function of all possible geometric invariants are investigated and general equations giving all critical points are derived.

13 pages, no figures

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Cited by in corpus (20)

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• Modified Gravity and Cosmology
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Jeans analysis of self-gravitating systems in f(R)-gravity
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• The instabilities and (anti)-evaporation of Schwarzschild-de Sitter black holes in modified gravity
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