Abstract
Despite having the somewhat successful description of accelerated cosmology, the early evolution of the universe always challenges mankind. Our promising approach lies in a new class of symmetric teleparallel theory of gravity named f(Q), where the non-metricity scalar Q is responsible for the gravitational interaction, which may resolve some of the issues. To study the early evolution of the universe, we presume an anisotropic locally rotationally symmetric (LRS) Bianchi-I spacetime and derive the motion equations. We discuss the profiles of energy density, equation of state and skewness parameter and observe that our models archive anisotropic spatial geometry in the early phase of the universe with a possible presence of anisotropic fluid and as time goes on, even in the presence of an anisotropic fluid, the universe could approach isotropy due to inflation and the anisotropy of the fluid fades away at the same time.
Highlights
It isotropizes the baby universe into today’s Friedmann–Lemaître–Robertson– Walker (FLRW) geometry
These results indicate that the universe should have achieved a slightly anisotropic spatial geometry despite the inflation, which is contrary to generic inflationary models [11,12,13,14,15,16,17]
Other kind of theories were considered in the past by altering the underlying geometry but not disturbing the Lagrangian, such as the teleparallel theory equivalent to the general relativity (GR) (TEGR) and the symmetric teleparallel theory equivalent to the GR (STEGR)
Summary
All of our results can be extended to the Bianchi type I model without much effort. Fadragas et al [5] explored a detailed dynamical analysis of anisotropic cosmologies with the presence of a scalar field. In the last few decades, Bianchi cosmologies are seeking more interest in observational cosmology since the WMAP data [1] suggest that the standard cosmological model with a positive cosmological constant resembles the Bianchi morphology [6,7,8,9,10]. These results indicate that the universe should have achieved a slightly anisotropic spatial geometry despite the inflation, which is contrary to generic inflationary models [11,12,13,14,15,16,17]. A wide range of Bianchi cosmology with the observational data have been studied (see details in [18,19,20,21,22])
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