Feasible Stellar Interiors Beyond Einstein Gravity: Insights from Non-Metricity-Matter Coupled Gravitational Theory

TL;DR

This paper explores the stability and viability of anisotropic compact stars within a modified gravity framework involving non-metricity and matter coupling, providing explicit solutions and stability analysis.

Contribution

It introduces specific non-singular solutions in $f(Q,L_m)$ gravity and assesses their physical viability and stability, advancing understanding of stellar structures beyond Einstein gravity.

Findings

Compact stars are shown to be viable and stable under the considered model.

Explicit non-singular solutions for static spherically symmetric structures are derived.

Physical characteristics satisfy stability and viability conditions.

Abstract

This manuscript examines viability and stability of anisotropic compact objects in the framework of $f(Q,L_m)$ gravity ($Q$ is the non-metricity and $L_m$ is the matter Lagrangian). We assume a particular functional form of this theory to get explicit expressions for the field equations which govern the behavior of matter and geometry in this context. The configuration of static spherically symmetric structures is evaluated using the two innovative non-singular solutions. We use smooth matching conditions to evaluate the values of unknown constants in the metric coefficients. The viability of considered compact stars is assessed using a graphic analysis of various important physical characteristics. We also investigate stability of the considered stellar objects through sound speed method. It is found that these stellar objects are viable and stable, as all the required conditions are satisfied.