The paper presents Barrow holographic dark energy (infrared cut-off is the Hubble horizon) suggested by [The area of a rough black hole, Phys. Lett. B 808 (2020) 135643] recently in an anisotropic Bianchi type-I Universe within framework [Formula: see text] symmetric teleparallel gravity, where non-metricity scalar responsible for gravitational interaction. We consider two cases: Interacting an...

Abstract Despite having the somewhat successful description of accelerated cosmology, early evolution universe always challenges mankind. Our promising approach lies in a new class symmetric teleparallel theory gravity named f ( Q ), where non-metricity scalar is responsible for gravitational interaction, which may resolve some issues. To study universe, we presume an anisotropic locally rotati...

A new class of exact solutions of Einstein’s field equations with perfect fluid for an LRS Bianchi type-I spacetime is obtained by using a time dependent deceleration parameter. We have obtained a general solution of the field equations from which three models of the universe are derived: exponential, polynomial and sinusoidal form respectively. The behaviour of these models of the universe are...

It has been known that a non-perfect fluid accounts for dissipative viscous effects can evade highly anisotropic chaotic mixmaster approach to singularity. Viscosity is often simply parameterised in this context, so it remains unclear whether isotropisation really occur physically motivated contexts. We present few examples of microphysical manifestations viscosity fluids interact either gravit...

The possible anisotropic nature in the early phases of Universe is one interesting aspects study cosmology. We investigate evolution terms few cosmological parameters considering an locally rotationally symmetric (LRS) Bianchi type-I spacetime (LRS-BI) under f(Q) gravity teleparallel theory equivalent to GR (STEGR). In this we consider two models, viz., f(Q)=−(Q+2Λ), a simple model with constan...

In this paper, [R. K. Muharlyamov and T. N. Pankratyeva, Eur. Phys. J. Plus 136, 590 (2021)] we have proposed a reconstruction method for the kinetic gravity braiding theory in framework of flat Friedman–Robertson–Walker spacetime. Here, develop Bianchi I spacetime model subclass Horndeski theory: [Formula: see text], text]. The Hubble parameter text] canonical term are set priori. choice funct...

The shear dynamics in Bianchi I cosmological model on the brane with a perfect fluid (the equation of state is p = (γ −1)µ) is studied. It is shown that for 1 < γ < 2 the shear parameter has maximum at some moment during a transition period from nonstandard to standard cosmology. An exact formula for the matter density µ in the epoch of maximum shear parameter as a function of the equation of s...

The shear dynamics in Bianchi I cosmological model on the brane with a perfect fluid (the equation of state is p = (γ −1)µ) is studied. It is shown that for 1 < γ < 2 the shear parameter has maximum at some moment during a transition period from nonstandard to standard cosmology. An exact formula for the matter density µ in the epoch of maximum shear parameter as a function of the equation of s...