Dynamical system analysis of Myrzakulov gravity

Abstract

We perform a dynamical system analysis of Myrzakulov or F(R, T) gravity, which is a subclass of affinely connected metric theories, where ones uses a specific but non-special connection, which allows for non-zero curvature and torsion simultaneously. We consider two classes of models, we extract the critical points, and we examine their stability properties alongside their physical features. In the Class 1 models, which possess ΛCDM cosmology as a limit, we find the sequence of matter and dark energy eras, and we show that the Universe will result in a dark-energy dominated critical point for which dark energy behaves like a cosmological constant. Concerning the dark-energy equation-of-state parameter we find that it lies in the quintessence or phantom regime, according to the value of the model parameter. For the Class 2 models, we again find the dark-energy dominated, de Sitter late-time attractor, although the scenario does not possess ΛCDM cosmology as a limit. The cosmological behavior is richer, and the dark-energy sector can be quintessence-like, phantom-like, or experience the phantom-divide crossing during the evolution.

arXiv commentTo appear in Phys. Rev. D

References in corpus (65)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Extended Theories of Gravity
• f(R,T) gravity
• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• f(T) teleparallel gravity and cosmology
• Exponential potentials and cosmological scaling solutions
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Non-Gaussianity from Inflation: Theory and Observations
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• From k-essence to generalised Galileons
• Extra force in $f(R)$ modified theories of gravity
• Quintom Cosmology: Theoretical implications and observations
• The teleparallel equivalent of general relativity
• Reconstruction of some cosmological models in f(R,T) gravity
• Construction of cosmologically viable f(G) gravity models
• Modified teleparallel theories of gravity
• Coupling matter in modified $Q$-gravity
• Nonminimal coupling of perfect fluids to curvature
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• $f(T,\mathcal{T})$ gravity and cosmology
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• On the possible running of the cosmological "constant"
• Modified Gravity and Cosmology: An Update by the CANTATA Network
• FRW Cosmology in F(R,T) gravity
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Generalized Galileon cosmology
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Complete Cosmic History with a dynamical Lambda(H) term
• Analysis of F(R,T) Gravity Models Through Energy Conditions
• The spectrum of symmetric teleparallel gravity
• Resembling dark energy and modified gravity with Finsler-Randers cosmology
• Dynamical analysis in scalar field cosmology
• Dynamical analysis of anisotropic scalar-field cosmologies for a wide range of potentials
• Running vacuum in quantum field theory in curved spacetime: renormalizing ${\rho }_{vac}$ without $\sim m^4$ terms
• Dynamical system analysis of generalized energy-momentum-squared gravity
• Dynamics of the anisotropic Kantowsky-Sachs geometries in $R^n$ gravity
• A dynamical system analysis of hybrid metric-Palatini cosmologies
• General Analytic Solutions of Scalar Field Cosmology with Arbitrary Potential
• Implications of a Stochastic Microscopic Finsler Cosmology
• The mass-radius relation for neutron stars in $f(R)=R+\alpha R^2$ gravity: a comparison between purely metric and torsion formulations
• The bimetric variational principle for General Relativity
• Dynamical analysis on $f(R,\mathcal{G})$ cosmology
• Stringy Space-Time Foam, Finsler-like Metrics and Dark Matter Relics
• Big Bang Nucleosynthesis constraints on higher-order modified gravities
• Finsler-Randers Cosmology: dynamical analysis and growth of matter perturbations
• Covariant kinematics and gravitational bounce in Finsler space-times
• Finslerian spaces possessing local relativistic symmetry
• Observational constraints on Myrzakulov gravity
• Cosmology of Lorentz fiber-bundle induced scalar-tensor theories
• Cosmological applications of Myrzakulov gravity
• Noether Symmetry Approach for teleparallel-curvature cosmology
• Dynamical analysis of $R\frac{1}{{\square }^2}R$ cosmology: Impact of initial conditions and constraints from supernovae
• Dynamical system analysis at background and perturbation levels: Quintessence in severe disadvantage comparing to $\Lambda$CDM
• Bounce cosmology in generalized modified gravities
• Non-minimal geometry-matter couplings in Weyl-Cartan space-times: $f(R,T,Q,T_m)$ gravity
• Background evolution and growth of structures in interacting dark energy through dynamical system analysis
• Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle
• Variational approach to gravitational theories with two independent connections
• Dark Gravitational Sectors on a Generalized Scalar-Tensor Vector Bundle Model and Cosmological Applications
• Nonminimally coupled Weyl gravity
• Metric-Affine Myrzakulov Gravity Theories

Cited by in corpus (11)

• Observational test for $f(Q)$ gravity with weak gravitational lensing
• Exact Cosmology in Myrzakulov Gravity
• Dynamical systems of modified Gauss-Bonnet gravity: cosmological implications
• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
• Transit cosmological models in Myrzakulov F(R,T) gravity theory
• Myrzakulov Gravity in Vielbein Formalism: A Study in Weitzenböck Spacetime
• Metric-Affine Myrzakulov Gravity Theories: Models, Applications and Theoretical Developments
• Cosmology of Metric-Affine $R+\beta R^2$ Gravity with Pure Shear Hypermomentum
• Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
• Contemplating the fate of modified gravity
• Cosmological Reconstructions in Einstein--Cartan--Myrzakulov Gravity with Torsion and Non-Metricity in the Weitzenböck Geometrical Sector