# Cosmological Analysis of Scalar Field Models in f(R,T) Gravity

## TL;DR

This paper explores Noether symmetries in f(R,T) gravity with scalar fields, deriving exact solutions for various cosmological models and analyzing their implications for cosmic expansion.

## Contribution

It introduces a systematic analysis of Noether symmetries in generalized f(R,T) gravity with scalar fields, providing new exact solutions and cosmological insights.

## Key findings

- Decelerated expansion for quintessence with dust
- Current cosmic expansion with potential energy dominance
- Exact solutions for anisotropic and homogeneous models

## Abstract

This paper determines the existence of Noether symmetry in non-minimally coupled $f(R,T)$ gravity admitting minimal coupling with scalar field models. We consider a generalized spacetime which corresponds to different anisotropic and homogeneous universe models. We formulate symmetry generators along with conserved quantities through Noether symmetry technique for direct and indirect curvature-matter coupling. For dust and perfect fluids, we evaluate exact solutions and construct their cosmological analysis through some cosmological parameters. We conclude that decelerated expansion is obtained for quintessence model with dust distribution while perfect fluid with dominating potential energy over kinetic energy leads to current cosmic expansion for both phantom as well as quintessence models.