Dynamical system analysis of LRS-BI Universe with f(Q) gravity theory

Abstract

Considering the Universe as a dynamic system, the understanding of its evolution is an interesting aspect of study in cosmology. Here, we investigate the anisotropic locally rotationally symmetric (LRS) Bianchi type-I (LRS-BI) spacetime under the $f(Q)$ gravity of symmetric teleparallel theory equivalent to the GR (STEGR) as a dynamical system and try to understand the role of anisotropy in the evolution of its various phases. For this work, we consider two models, viz., $f(Q)=-(Q+2\Lambda )$ and $f(Q)=-\beta Q^n$ to study the critical points and stability of the LRS-BI Universe. In both the models, it is found that the various phases like radiation-dominated, matter-dominated, and dark energy-dominated phases are heteroclinically connected, and there is some role of anisotropy in the evolution of these phases of the Universe. However, for both the models, there are some unphysical solutions too depending upon the values of model parameters $\beta$ and $n$ along with the anisotropic parameter $\alpha$.

arXiv comment18 pages, 6 figures; Published version

References in corpus (66)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• 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
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Constraints on the redshift dependence of the dark energy potential
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Coincident General Relativity
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• Clustering of Luminous Red Galaxies IV: Baryon Acoustic Peak in the Line-of-Sight Direction and a Direct Measurement of H(z)
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• Observational constraints of $f(Q)$ gravity
• Imprints of a Primordial Preferred Direction on the Microwave Background
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• Aspects of the cosmological "coincidence problem"
• Evidence of vorticity and shear at large angular scales in the WMAP data: a violation of cosmological isotropy?
• The Clustering of Galaxies in the SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: Testing Deviations from $\Lambda$ and General Relativity using anisotropic clustering of galaxies
• Covariant formulation of f(Q) theory
• Measuring D_A and H at z=0.35 from the SDSS DR7 LRGs using baryon acoustic oscillations
• Testing $F(Q)$ gravity with redshift space distortions
• Cosmic Microwave Background Quadrupole and Ellipsoidal Universe
• Inflationary perturbations in anisotropic backgrounds and their imprint on the CMB
• Cosmology with positive and negative exponential potentials
• Comparing Equivalent Gravities: common features and differences
• Cosmic acceleration with bulk viscosity in modified $f(Q)$ gravity
• Anisotropic nature of space-time in $f(Q)$ gravity
• Revisiting Cosmologies in Teleparallelism
• Growth of matter perturbations in non-minimal teleparallel dark energy
• Bianchi Type VII_h Models and the WMAP 3-year Data
• Fast and Efficient Template Fitting of Deterministic Anisotropic Cosmological Models Applied to WMAP Data
• Isotropization of locally rotationally symmetric Bianchi-I universe in $f(Q)$-gravity
• Reconstructing isotropic and anisotropic $f(\mathcal{Q})$ cosmologies
• Constraining effective equation of state in $f(Q,T)$ gravity
• Bianchi type I cosmological model with a viscous fluid
• On dynamical systems approaches and methods in $f(R)$ cosmology
• Irrotational Bianchi V Viscous Fluid Cosmology with Heat Flux
• Starobinsky cosmological model in Palatini formalism
• Current Constraints on Anisotropic and Isotropic Dark Energy Models
• Phase-space analysis of a novel cosmological model in $f(Q)$ theory
• Probing Dark Energy in The scope of Bianchi type I Spacetime
• Comment on "Energy conditions in $f(Q)$ gravity"
• A new approach to the analysis of the phase space of f(R)-gravity
• Geodesic Deviation Equation In $f(Q)$-Gravity
• Brans-Dicke theory and the emergence of ΛCDM model
• Bianchi VI0 viscous fluid cosmology with magnetic field
• Viscous Dark Energy In Bianchi Type V Space-Time
• Can a negative-mass cosmology explain dark matter and dark energy?
• Observational constraints and some toy models in $f(Q)$ gravity with bulk viscous fluid
• Anisotropic LRS-BI Universe with $f(Q)$ gravity theory
• Magnetic Monopoles in Field Theory and Cosmology
• Cosmology with a new f(R) gravity model in Palatini formalism
• Full Investigation on the Dynamics of Power-Law Kinetic Quintessence
• The Phase-space analysis of scalar fields with non-minimally derivative coupling
• The dynamical viability of scalar-tensor gravity theories
• Anisotropic f(Q) gravity model with bulk viscosity
• Recovering $\Lambda$CDM Model From a Cosmographic Study
• Cosmological dynamics of magnetic Bianchi I in viable $f(R)$ models of gravity
• Dynamical System of Scalar Field from 2-Dimension to 3-D and its Cosmological Implication

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• Observational constraints on cosmological parameters in the Bianchi type III Universe with f(R,T) gravity theory
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• Stability Analysis of Four $f(Q)$ Gravity Models : A Cosmological Review in the Background of Bianchi-I Anisotropy
• The $f(Q)$ gravity and affine EoS: Compatibility and observational constraints
• Phase space analysis of Bianchi III Universe with $f(R,T)$ gravity theory