Accelerating behavior from dynamical system analysis parameters

Abstract

We have performed the dynamical system analysis to obtain the critical point in which, the value of the geometric and dynamical parameters satisfy the late-time cosmic behavior of the Universe. At the outset, the modified Friedmann equations have been reformulated into a system of coupled differential equations to ensure that the minimal set of equations required for a second-order $f(Q)$ gravity. Then these equations are solved numerically to constrain the parameters with Markov Chain Monte Carlo (MCMC) techniques. Cosmic Chronometers (CC) and high-precision Pantheon${}^{+}$ Type Ia Supernovae datasets are used to constrain the parameters. The evolution of key cosmological parameters indicates that the model exhibits quintessence-like behavior at present, with a tendency to converge towards the $\Lambda$CDM model at late-times. The dynamic system analysis provided the critical points that correspond to different phases of the Universe, which are analyzed in detail. The existence of a stable de Sitter attractor confirms the accelerating behavior of the model.

20 pages, 7 figures

References in corpus (40)

• emcee: The MCMC Hammer
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Planck 2015 results. XIII. Cosmological parameters
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• f(T) teleparallel gravity and cosmology
• The Pantheon+ Analysis: Cosmological Constraints
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-Derived Parameters
• The Dark Energy Survey: more than dark energy - an overview
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Coincident General Relativity
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Cosmology in $f(Q)$ geometry
• Cosmology with Interaction between Phantom Dark Energy and Dark Matter and the Coincidence Problem
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• Dark Energy Survey Year 1 Results: A Precise H0 Measurement from DES Y1, BAO, and D/H Data
• From cosmic deceleration to acceleration: new constraints from SN Ia and BAO/CMB
• Black holes in $f(\mathbb{Q})$ Gravity
• The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Large-scale Structure Catalogues and Measurement of the isotropic BAO between redshift 0.6 and 1.1 for the Emission Line Galaxy Sample
• Dynamical Systems Perspective of Cosmological Finite-time Singularities in $f(R)$ Gravity and Interacting Multifluid Cosmology
• Benchmark stars for Gaia: fundamental properties of the Population II star HD140283 from interferometric, spectroscopic and photometric data
• Extended Quintessence with non-minimally coupled phantom scalar field
• Matter Bounce Scenario in Extended Symmetric Teleparallel Gravity
• Dynamical systems in cosmology
• Testing Non-Coincident $f(Q)$-gravity with DESI DR2 BAO and GRBs
• Dynamical systems analysis of $f(Q)$ gravity
• Cosmological dynamical systems in modified gravity
• Constraints on $f(Q)$ logarithmic model using gravitational wave standard sirens
• Neutron Star in Covariant $f(Q)$ gravity
• Spatial curvature in coincident gauge $f(Q)$ cosmology
• Constrained cosmological model in $f(Q,T)$ gravity with non-linear non-metricity
• Tracing cosmic evolution through Weyl-Type f(Q,T) gravity model: theoretical analysis and observational validation
• Observational constrained Weyl type $f(Q,T)$ gravity cosmological model and the dynamical system analysis
• Constraining Exponential f(Q) Gravity with Cosmic Chronometers and Supernovae: A Data-Driven Analysis
• Calculating the Hawking Temperature of Black Holes in $f(Q)$ Gravity Using the RVB Method: A Residue-Based Approach
• A note on the junction conditions in f(Q)-gravity

Cited by in corpus (2)

• Logarithmic and Strong Coupling Models in Weyl-Type $f(Q,T)$ Gravity
• Cosmological Dynamics of Exponential Quintessence Constrained by BAO, Cosmic Chronometers, and DES-SN5YR/Pantheon+ Data