A dynamical system approach to higher order gravity

Abstract

The dynamical system approach has recently acquired great importance in the investigation on higher order theories of gravity. In this talk I review the main results and I give brief comments on the perspectives for further developments.

6 pages, 1 figure, 2 tables, talk given at IRGAC 2006, July 2006

References in corpus (5)

• Curvature quintessence matched with observational data
• Cosmological dynamics of R^n gravity
• On the evolution of universes in quadratic theories of gravity
• Shear dynamics in Bianchi I cosmologies with R^n-gravity
• Cosmological models (Cargèse lectures 1998)

Cited by in corpus (19)

• f(R) Theories Of Gravity
• On the LCDM Universe in f(R) gravity
• A dynamical system analysis of hybrid metric-Palatini cosmologies
• Large Scale Structure Constraints for a Class of f(R) Theories of Gravity
• Theoretical and observational constraints of viable f(R) theories of gravity
• Dynamical system analysis for nonminimal torsion-matter coupled gravity
• Global gravitational instability of FLRW backgrounds - interpreting the dark sectors
• Cosmological dynamics of fourth order gravity: A compact view
• The Raychaudhuri equation in homogeneous cosmologies
• Cosmological dynamics of brane f(R) gravity
• Cosmology of $f(R,\square R)$ gravity
• Searching for dynamical black holes in various theories of gravity
• Phase space of modified Gauss-Bonnet gravity
• R^n gravity and the chameleon
• The dynamics of Bianchi I universes in $R^n$ cosmologies with torsion
• On tidal forces in f(R) theories of gravity
• Non minimally coupled condensate cosmologies: a phase space analysis
• Reconstruction of $f(R)$ lagrangian from a massive scalar field
• Cosmological perturbations in Energy-Momentum Squared Gravity