This paper is devoted to investigate the anisotropic locally rotationally symmetric (LRS) Bianchi type-I space-time in context of recently proposed $f(Q)$ gravity which $Q$ non-metricity scalar. For this purpose, we consider a linear form $f\left( Q\right) $ model, specifically, =\alpha Q+\beta $, where $\alpha and $% \beta are free parameters analyzed exact solutions LRS space-time. The modifi...

We show several kinematical properties that are intrinsic to the Bianchi models with compact spatial sections. Especially, with spacelike hypersurfaces being closed, (A) no anisotropic expansion is allowed for Bianchi type V and VII (A = 0), and (B) type IV and VI (A = 0, 1) does not exist. In order to show them, we put into geometric terms what is meant by spatial homogeneity and employ a math...

In this manuscript, we investigate the oscillatory behaviour of anisotropy in diagonal Bianchi-I spacetimes. Our starting point is a simplification Einstein’s equations using only observable or physical variables. As consequence, are able to: (a) Prove general results concerning existence oscillations primordial and late-time universe. For instance, expanding scenario, show that past weakly mix...

For certain models, the energy of the universe which includes the energy of both the matter and the gravitational fields is obtained by using the quasilocal energy-momentum in teleparallel gravity. It is shown that in the case of the Bianchi type I and II universes, not only the total energy but also the quasilocal energy-momentum for any region vanishes independently of the three dimen-sionles...