The nonlinear anisotropic model of the Universe with the linear potential

TL;DR

This paper explores a nonlinear anisotropic cosmological model within Bianchi I universe, demonstrating finite anisotropy behavior that is suppressed during inflation, avoiding singularities and providing new insights into early universe dynamics.

Contribution

It introduces a nonlinear anisotropic model with a linear potential that ensures finite anisotropy and avoids initial singularities, advancing understanding of early universe behavior.

Findings

Anisotropy is finite and reaches a maximum at the initial moment.

Anisotropy decreases during inflation and approaches zero later.

The model does not contain any singular points.

Abstract

In the Bianchi I cosmology some subclasses of the Horndeski theory allow for the non-standard anisotropy behavior. For example, the anisotropy is damped near the initial singularity instead of tending to infinity. In this article, we analyze the nonlinear anisotropic model with the linear potential.We have considered an example of such theory, for which the anisotropy is always finite. The anisotropy reaches its a maximum value at the initial moment. The anisotropy suppression occurs during the inflationary stage, and it approaches zero at later times. This cosmological model does not contain the singular point.