Generalized modified gravity models: the stability issue

Abstract

A brief introduction on the issue of stability in generalized modified gravity is presented and the dynamical system methods are used in the investigation 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.

10 pages, contribution to the anniversary volume "The Problems of Modern Cosmology", on the occasion of the 50th birthday of Prof. S. D. Odintsov. Editor: Prof. P. M. Lavrov, Tomsk State Pedagogical University

References in corpus (13)

• f(R) Theories Of Gravity
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• The pattern of growth in viable f(R) cosmologies
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Phantom and non-phantom dark energy: The cosmological relevance of non-locally corrected gravity
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Dark energy generated from a (super)string effective action with higher order curvature corrections and a dynamical dilaton
• Can F(R)-gravity be a viable model: the universal unification scenario for inflation, dark energy and dark matter
• Homogeneous cosmologies in generalized modified gravity

Cited by in corpus (3)

• A Completely Regular Quantum Stress Tensor with $w<-1$
• Stability of f(R) black holes
• Stability analysis of f(R)-AdS black holes