Stellar Structures admitting Noether Symmetries in $f(\mathcal{R},\mathcal{T})$ Gravity

TL;DR

This study explores the structure of compact stars within a modified gravity framework using Noether symmetries, deriving solutions that align with astrophysical observations and depend on conserved quantities and model parameters.

Contribution

It introduces a novel application of Noether symmetry analysis to $f( ext{R}, ext{T})$ gravity for modeling compact stellar objects.

Findings

Solutions are consistent with astrophysical data.

Compact objects depend on conserved quantities and model parameters.

The approach validates the use of Noether symmetries in modified gravity models.

Abstract

This paper investigates the geometry of compact stellar objects via Noether symmetry strategy in the framework of curvature-matter coupled gravity. For this purpose, we assume the specific model of this theory to evaluate Noether equations, symmetry generators and corresponding conserved parameters. We use conserved parameters to examine some fascinating attributes of the compact objects for suitable values of the model parameters. It is analyzed that compact objects in this theory depend on the conserved quantities and model parameters. We find that the obtained solutions provide the viability of this process as they are compatible with the astrophysical data.