An optimal system and invariant solutions of dark energy Models in cylindrically symmetric space-time

TL;DR

This paper derives new invariant solutions for dark energy models in cylindrically symmetric space-time, analyzing their geometrical features and anisotropy behavior using symmetry analysis methods.

Contribution

It introduces novel invariant solutions for dark energy models with anisotropic pressure in cylindrically symmetric space-time using symmetry analysis.

Findings

New invariant solutions derived for dark energy models.

Analysis of anisotropy and geometrical features of the models.

Behavior of dark energy anisotropy examined in detail.

Abstract

In this paper, we derive some new invariant solutions of dark energy models in cylindrically symmetric space-time. To quantify the deviation of pressure from isotropy, we introduce three different time dependent skewness parameters along the spatial directions. The matter source consists of dark energy which is minimally interact with perfect fluid. We use symmetry analysis method for solving the non-linear partial differential equations (NLPDEs) which is more powerful than the classical methods of solving NLPDEs. The geometrical and kinematical features of the models and the behaviour of the anisotropy of dark energy, are examined in detail.