Anisotropic LRS-BI Universe with $f(Q)$ gravity theory

Abstract

The possible anisotropic nature in the early phases of the Universe is one of the interesting aspects of study in cosmology. We investigate the evolution of the Universe in terms of few cosmological parameters considering an anisotropic locally rotationally symmetric (LRS) Bianchi type-I spacetime (LRS-BI) under the $f(Q)$ gravity of symmetric teleparallel theory equivalent to the GR (STEGR). In this study we consider two $f(Q)$ gravity models, viz., $f(Q)=-(Q+2\Lambda )$, a simple model with the cosmological constant $\Lambda$ and the power law model, $f(Q)=-\alpha Q^n$ with two constant parameters $\alpha$ and $n$. Considering a proportionality relation between the directional Hubble parameters with a proportionality constant parameter $\lambda$ we find a significant contribution of the anisotropic factor in the evolution of the early Universe for both models. The power law model shows the more dominating effect of anisotropy in comparison to the simple model depending on model parameters, especially on the parameter $n$. The power law model also shows some possible effects of anisotropy on the Universe's evolution in the near future. In addition, both models confirm that the anisotropy does not obtain any appreciable signature in the current stage of the Universe. From our analysis we also set rough constraints on our model parameters as $0.5\le \lambda \le 1.25$, $0.75\le \alpha \le 1.5$ and $0.95\le n\le 1.05$.

arXiv comment14 pages, 8 figures

References in corpus (42)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• 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
• Constraints on the redshift dependence of the dark energy potential
• Hybrid Inflation
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Coincident General Relativity
• 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)
• Cosmology in $f(Q)$ geometry
• Observational constraints of $f(Q)$ gravity
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• Evidence of vorticity and shear at large angular scales in the WMAP data: a violation of cosmological isotropy?
• Constraining the Topology of the Universe
• Covariant formulation of f(Q) theory
• Testing $F(Q)$ gravity with redshift space distortions
• Cosmic Microwave Background Quadrupole and Ellipsoidal Universe
• Predictions from an anisotropic inflationary era
• Cosmic acceleration with bulk viscosity in modified $f(Q)$ gravity
• New models and Big Bang Nucleosynthesis constraints in $f(Q)$ gravity
• Constraints on a Bianchi type I spacetime extension of the standard $\Lambda$CDM model
• Testing the Isotropy of the Universe with Type Ia Supernovae
• Revisiting Cosmologies in Teleparallelism
• 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
• Irrotational Bianchi V Viscous Fluid Cosmology with Heat Flux
• Current Constraints on Anisotropic and Isotropic Dark Energy Models
• Probing Dark Energy in The scope of Bianchi type I Spacetime
• Comment on "Energy conditions in $f(Q)$ gravity"
• Geodesic Deviation Equation In $f(Q)$-Gravity
• Bianchi VI0 viscous fluid cosmology with magnetic field
• Viscous Dark Energy In Bianchi Type V Space-Time
• Recovering $\Lambda$CDM Model From a Cosmographic Study
• Cosmological dynamics of magnetic Bianchi I in viable $f(R)$ models of gravity
• Ellipsoidal universe in the brane world
• A (varying power)-law modified gravity
• Supersymmetric hybrid inflation with non-minimal coupling to gravity

Cited by in corpus (18)

• Quasinormal modes, thermodynamics and shadow of black holes in Hu-Sawicki f(R) gravity theory
• Energy condition bounds on $f(Q)$ model parameters in a curved FLRW universe
• Equivalence of $f(Q)$ cosmology with quintom-like scenario: the phantom field as effective realization of the non-trivial connection
• Quasinormal modes, temperatures and greybody factors of black holes in a generalized Rastall gravity theory
• Validity of energy conditions of matter in traversable wormholes under the $f(Q)$ modified gravity theory
• Dynamical system analysis of LRS-BI Universe with f(Q) gravity theory
• Propagation and Fluxes of Ultra High Energy Cosmic Rays in f(R) Gravity Theory
• A generic dynamical system formulation for Bianchi-I cosmology with isotropic fluid in $f(Q)$ gravity
• Anisotropies of Diffusive Ultra-high Energy Cosmic Rays in $f(R)$ Gravity Theory
• Probing symmetric teleparallel gravity in the early universe
• Strong Lensing Effect and Quasinormal Modes of Oscillations of Black Holes in $\mathbf{f}(\mathbf{R},\mathbf{T})$ Gravity Theory
• Magnetic Suppression of Cosmic Rays' Flux in $\mathbf{f}(\mathbf{R})$ and $\mathbf{f}(\mathbf{Q})$ Theories of Gravity
• Anisotropic cosmology in Bumblebee gravity theory
• Observational constraints on cosmological parameters in the Bianchi type III Universe with f(R,T) gravity theory
• Analysing Ultra High Energy Cosmic Rays' Anisotropy in $\mathbf{f}(\mathbf{R},\mathbf{T})$ Gravity Theory
• Static, Cylindrically Symmetric Spacetimes in the Coincident f(Q) Gravity
• Phase space analysis of Bianchi III Universe with $f(R,T)$ gravity theory
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy