The phase space view of f(R) gravity

Abstract

We study the geometry of the phase space of spatially flat Friedmann-Lemaitre-Robertson-Walker models in f(R) gravity, for a general form of the function f(R). The equilibrium points (de Sitter spaces) and their stability are discussed, and a comparison is made with the phase space of the equivalent scalar-tensor theory. New effective Lagrangians and Hamiltonians are also presented.

14 pages, 2 figures, published in Classical and Quantum Gravity; references added

References in corpus (4)

• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• Spherically symmetric spacetimes in f(R) gravity theories
• Ghost Constraints on Modified Gravity
• The Evolution of Universe with th B-I Type Phantom Scalar Field

Cited by in corpus (9)

• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• A viability criterion for modified gravity with an extra force
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Dark energy, inflation and dark matter from modified F(R) gravity
• Noether symmetry in $f(R)$ cosmology
• Noether symmetry for non-minimally coupled fermion fields
• f(R) Quantum Cosmology