Exact Solutions and Conserved Quantities in f(R,T) Gravity

TL;DR

This paper investigates symmetries and conserved quantities in anisotropic and isotropic universe models within $f(R,T)$ gravity, deriving exact solutions that align with observed accelerated cosmic expansion.

Contribution

It provides a comprehensive analysis of Noether and gauge symmetries in $f(R,T)$ gravity, deriving exact solutions and conserved quantities for different universe models.

Findings

Symmetry generators exist in all considered models.

Conserved quantities are associated with these symmetries.

Solutions are consistent with accelerated expansion observations.

Abstract

This paper explores Noether and Noether gauge symmetries of anisotropic universe model in $f(R,T)$ gravity. We consider two particular models of this gravity and evaluate their symmetry generators as well as associated conserved quantities. We also find exact solution by using cyclic variable and investigate its behavior via cosmological parameters. The behavior of cosmological parameters turns out to be consistent with recent observations which indicates accelerated expansion of the universe. Next we study Noether gauge symmetry and corresponding conserved quantities for both isotropic and anisotropic universe models. We conclude that symmetry generators and the associated conserved quantities appear in all cases.