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 $0.95\le n\le 1.05$.

14 pages, 8 figures

References in corpus (20)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Testing $F(Q)$ gravity with redshift space distortions
• Cosmic Microwave Background Quadrupole and Ellipsoidal Universe
• Predictions from an anisotropic inflationary era
• 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
• Bianchi type I cosmological model with a viscous fluid
• Constraining effective equation of state in $f(Q,T)$ gravity
• Irrotational Bianchi V Viscous Fluid Cosmology with Heat Flux
• Comment on "Energy conditions in $f(Q)$ gravity"
• Bianchi VI0 viscous fluid cosmology with magnetic field
• Viscous Dark Energy In Bianchi Type V Space-Time
• Cosmological dynamics of magnetic Bianchi I in viable $f(R)$ models of gravity
• Ellipsoidal universe in the brane world

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• Propagation and Fluxes of Ultra High Energy Cosmic Rays in f(R) Gravity Theory
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• Static, Cylindrically Symmetric Spacetimes in the Coincident f(Q) Gravity
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• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy