Dynamical analysis of nonminimal coupled theories

Abstract

In this work a dynamical system approach to nonminimal coupled f(R) theories is made. The solutions of three distinct models are obtained and their stability and physical interpretation are studied to ascertain their viability as candidates for dark energy. Comparison is drawn with previous works in the context of f(R) and nonminimally coupled models.

13 pages, 10 figures, 7 tables. Published version

References in corpus (23)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Standard Model Higgs boson as the inflaton
• Extra force in $f(R)$ modified theories of gravity
• Conditions for the cosmological viability of f(R) dark energy models
• Higgs inflation: consistency and generalisations
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Solar System constraints to general f(R) gravity
• Nonminimal coupling of perfect fluids to curvature
• Matter instability in modified gravity
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Dynamical behavior in $f(T,T_G)$ cosmology
• A viability criterion for modified gravity with an extra force
• Do f(R) theories matter?
• On the non-minimal gravitational coupling to matter
• Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry
• Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
• Reheating via a generalized non-minimal coupling of curvature to matter
• Some remarks on the dynamical systems approach to fourth order gravity
• Covariant equations of motion for test bodies in gravitational theories with general nonminimal coupling
• Cosmological dynamics of exponential gravity
• The Layzer-Irvine equation in theories with non-minimal coupling between matter and curvature
• Gravitational collapse in non-minimally coupled gravity: finite density singularities and the breaking of the no-hair theorem

Cited by in corpus (6)

• Cosmological implications of Bumblebee vector models
• Lagrangian description of cosmic fluids: mapping dark energy into unified dark energy
• Particle creation and decay in nonminimally coupled models of gravity
• The 1/c expansion of nonminimally coupled curvature-matter gravity model and constraints from planetary precession
• ΛCDM suitably embedded in f(R) with a non-minimal coupling to matter
• Gravitational Collapse in Energy-momentum squared gravity: Nature of singularities