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.

arXiv comment13 pages, 10 figures, 7 tables. Published version

References in corpus (58)

• Dynamics of dark energy
• Particle Dark Matter: Evidence, Candidates and Constraints
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• An alternative to quintessence
• The Standard Model Higgs boson as the inflaton
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• The Confrontation between General Relativity and Experiment
• Extra force in $f(R)$ modified theories of gravity
• Unification of Dark Matter and Dark Energy: the Inhomogeneous Chaplygin Gas
• Conditions for the cosmological viability of f(R) dark energy models
• Scaling solutions in general non-minimal coupling theories
• Higgs inflation: consistency and generalisations
• Curvature quintessence matched with observational data
• Reconciling dark energy models with f(R) theories
• Cosmological scaling solutions of non-minimally coupled scalar fields
• Running Inflation in the Standard Model
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• Covariant conservation of energy momentum in modified gravities
• Nonminimal coupling and quintessence
• Solar System constraints to general f(R) gravity
• Nonminimal coupling of perfect fluids to curvature
• Cosmological dynamics of R^n gravity
• Stationary dark energy: the present universe as a global attractor
• Accelerated Cosmological Models in Ricci squared Gravity
• Matter instability in modified gravity
• Quintessence, super-quintessence and observable quantities in Brans-Dicke and non-minimally coupled theories
• The Lagrangian description of perfect fluids and modified gravity with an extra force
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Energy Conditions and Stability in $f(R)$ theories of gravity with non-minimal coupling to matter
• Modified gravity with R-matter couplings and (non-)geodesic motion
• Dynamical behavior in $f(T,T_G)$ cosmology
• A viability criterion for modified gravity with an extra force
• Modelling clusters of galaxies by f(R)-gravity
• Accelerated expansion from a non-minimal gravitational coupling to matter
• Do f(R) theories matter?
• Matter density perturbations in modified gravity models with arbitrary coupling between matter and geometry
• 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
• Mimicking dark matter through a non-minimal gravitational coupling with matter
• Mimicking dark matter in galaxy clusters through a non-minimal gravitational coupling with matter
• Cosmological perturbations in theories with non-minimal coupling between curvature and matter
• Traversable Wormholes and Time Machines in non-minimally coupled curvature-matter $f(R)$ theories
• On the dynamics of perfect fluids in non-minimally coupled gravity
• Covariant equations of motion for test bodies in gravitational theories with general nonminimal coupling
• Modified Friedmann Equation from Nonminimally Coupled Theories of Gravity
• Cosmological dynamics of exponential gravity
• Solar System constraints to nonminimally coupled gravity
• Equations of motion in gravity theories with nonminimal coupling: a loophole to detect torsion macroscopically?
• Can structure formation distinguish ΛCDM from non-minimal f(R) Gravity?
• The Layzer-Irvine equation in theories with non-minimal coupling between matter and curvature
• Cosmological Dynamics of Modified Gravity With a Non-minimal Curvature-matter Coupling
• Gravitational collapse in non-minimally coupled gravity: finite density singularities and the breaking of the no-hair theorem
• Unraveling gravity beyond Einstein with extended test bodies

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• Thermodynamics of the apparent horizon in the generalized energy-momentum-squared cosmology
• Dynamical analysis of generalised $f(R,\mathcal{L})$ theories
• Thermodynamics in $f(R,\mathcal{L})$ theories: Apparent horizon in the FLRW spacetime
• Big-bang nucleosynthesis and cosmic microwave background constraints on non-minimally coupled theories of gravity
• Lagrangian description of cosmic fluids: mapping dark energy into unified dark energy
• Anisotropic Electron-Photon-Phonon Coupling in Layered MoS2
• Dynamical analysis of modified gravity with nonminimal gravitational coupling to matter
• 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
• Distance-duality in theories with a nonminimal coupling to gravity
• ΛCDM suitably embedded in f(R) with a non-minimal coupling to matter
• Energy-momentum squared symmetric Teleparallel gravity: $f(Q,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Visible and Dark Matter Profiles in a Non-Minimally Coupled Model
• Gravitational Collapse in Energy-momentum squared gravity: Nature of singularities