Cosmological dynamics of fourth order gravity: A compact view

Abstract

We construct a compact phase space for flat FLRW spacetimes with standard matter described by a perfect fluid with a barotropic equation of state for general f(R) theories of gravity, subject to certain conditions on the function f. We then use this framework to study the behaviour of the phase space of Universes with a non-negative Ricci scalar in R + αR^n gravity. We find a number of interesting cosmological evolutions which include the possibility of an initial unstable power-law inflationary point, followed by a curvature fluid dominated phase mimicking standard radiation, then passing through a standard matter (CDM) era and ultimately evolving asymptotically towards a de-Sitter-like late-time accelerated phase.

8 pages, 3 figures, revtex4-1

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• Large Scale Structure Constraints for a Class of f(R) Theories of Gravity
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• Cosmological dynamics in f(R) gravity
• Theoretical and observational constraints of viable f(R) theories of gravity
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• Focusing of geodesic congruences in an accelerated expanding Universe
• Traversable wormhole models in $f(R)$ gravity
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• Spatial Curvature in $f(R)$ Gravity
• Cosmological evolution with quadratic gravity and nonideal fluids
• A note on the dynamical system formulations in $f(R)$ gravity
• Averaging with a time-dependent perturbation parameter
• Cosmological dynamics of magnetic Bianchi I in viable $f(R)$ models of gravity
• A Born-Infeld-like f(R) gravity
• Extended analysis for the Evolution of the Cosmological history in Einstein-aether Scalar Field theory
• Reconstruction of f(R) gravity models from observations
• Perfect fluid solutions of Brans-Dicke and f(R)cosmology
• A comprehensive analysis of the compact phase space for Hu-Sawicki $f(R)$ dark energy models including spatial curvature
• A model-independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in $f(R)$ gravity