Dynamical system analysis in modified Galileon cosmology

Abstract

In this paper, we have investigated the phase space analysis in modified Galileon cosmology, where the Galileon term is considered a coupled scalar field, $F(\varphi )$. We focus on the exponential type function of $F(\varphi )$ and the three well-motivated potential functions $V(\varphi )$. We obtain the critical points of the autonomous system, along with their stability conditions and cosmological properties. The critical points of the autonomous system describe different phases of the Universe. In the results of our analysis, we have found the scaling solution for critical points, which determine different evolutionary eras for the Universe. The dark-energy-dominated critical points show stable behavior and indicate the Universe's late-time cosmic acceleration phase. Further, the results are examined with the cosmological data sets of the Hubble rate $H(z)$ and the Supernovae Ia.

41 pages, 28 figures, Accepted version Class. Quantum Grav

References in corpus (70)

• Dynamics of dark energy
• Modified Gravity and Cosmology
• 4D Gravity on a Brane in 5D Minkowski Space
• Extended Theories of Gravity
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Cosmology and the Fate of Dilatation Symmetry
• In the Realm of the Hubble tension $-$ a Review of Solutions
• The galileon as a local modification of gravity
• f(T) teleparallel gravity and cosmology
• The Pantheon+ Analysis: Cosmological Constraints
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Covariant Galileon
• Inflation Dynamics and Reheating
• Quintom Cosmology: Theoretical implications and observations
• Cosmology on a Brane in Minkowski Bulk
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• The trouble with $H_0$
• Teleparallel Gravity: From Theory to Cosmology
• Dynamical systems applied to cosmology: dark energy and modified gravity
• The covariant formulation of f(T) gravity
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• Galileon inflation
• Local determination of the Hubble constant and the deceleration parameter
• Self-Accelerating Universe in Galileon Cosmology
• Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity
• Applications of scalar attractor solutions to Cosmology
• Observational Constraints on Teleparallel Dark Energy
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Cosmological applications of $F(T,T_G)$ gravity
• Covariant formulation of scalar-torsion gravity
• Dynamical analysis of generalized Galileon cosmology
• Dynamical system analysis for accelerating models in non-metricity $f(Q)$ gravity
• Solar System tests in $f(T)$ gravity
• Cosmological dynamics of tachyonic teleparallel dark energy
• Cosmological viable models in $f(T,B)$ gravity as solutions to the $H_0$ tension
• Revisiting fifth forces in the Galileon model
• Dynamical Stability Analysis of Accelerating f(T) Gravity Models
• Galactic Rotation Dynamics in f(T) gravity
• Gauge Structure of Teleparallel Gravity
• Cosmological dynamics of dark energy in scalar-torsion $f(T,\varphi )$ gravity
• Galileons on Trial
• Dynamical systems analysis in $f(T,\varphi )$ gravity
• Primordial non-Gaussianity from ultra slow-roll Galileon inflation
• Constraints on Galileon-induced precessions from solar system orbital motions
• Dark energy interactions near the galactic centre
• Analyzing the geometrical and dynamical parameters of modified Teleparallel-Gauss-Bonnet model
• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking
• Slow-roll inflation in generalized scalar-torsion gravity
• Attractor behaviour of $f(T)$ modified gravity and the cosmic acceleration
• Dynamical system analysis in teleparallel gravity with boundary term
• Dynamical complexity of the Teleparallel gravity cosmology
• Observational constrained $F(R,\mathcal{G})$ gravity cosmological model and the dynamical system analysis
• Superpotential method for chiral cosmological models connected with modified gravity
• Cosmological models in $f(T,\mathcal{T})$ gravity and the dynamical system analysis
• Dynamical systems analysis of phantom models
• Dynamics in interacting scalar-torsion theory
• New perturbative method for analytical solutions in single-field models of inflation
• DBI Galileon in the Effective Field Theory of Inflation: Orthogonal non-Gaussianities and constraints from the Trispectrum
• Noether Symmetry Approach in Scalar-Torsion $f(T,\varphi )$ Gravity
• On the Covariant Galileon and a consistent self-accelerating Universe
• Growth of structures using redshift space distortion in $f(T)$ Cosmology
• Dynamics of interacting scalar field model in the realm of chiral cosmology
• Dynamical Complexity in Teleparallel Gauss-Bonnet Gravity
• Global phase space analysis for a class of single scalar field bouncing solutions in general relativity
• Phase-space analysis of torsion-coupled dilatonic ghost condensate
• New method of exponential potentials reconstruction based on given scale factor in phantonical two-field models
• Qualitative behaviour of higher-curvature gravity with boundary terms i.e the f(Q) gravity models by dynamical system analysis
• Teleparallel Gravity and the Gravitational Energy-Momentum Density

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