Viable and Stable Compact Stellar Structures in f(Q,T)$f(\mathcal {Q},\mathcal {T})$ Theory

Abstract

The main objective of this paper is to investigate the impact of gravity on the geometry of anisotropic compact stellar objects, where is non‐metricity and is the trace of the energy‐momentum tensor. In this perspective, the physically viable non‐singular solutions to examine the configuration of static spherically symmetric structures is used. A specific model of this theory to examine various physical quantities in the interior of the proposed compact stars (CSs) is considered. These quantities include fluid parameters, anisotropy, energy constraints, equation of state parameters, mass, compactness, and redshift. The Tolman–Oppenheimer–Volkoff equation is used to examine the equilibrium state of stellar models, while the stability of the proposed CSs is investigated through sound speed and adiabatic index methods. It is found that the proposed CSs are viable and stable in the context of this theory.

Anisotropic stellar structures admitting Karmakar condition in f(R, φ, χ) theory

“…Their rigorous analysis and satisfaction of necessary conditions lead to the conclusion that the charged stellar objects studied in this framework are viable. Recently, Gul and his collaborators [32] delved into the viability and stability of CSs characterized by anisotropic matter in the framework of f (Q, T) theory. Their findings indicate that the proposed CSs analyzed in this theoretical framework maintain viability and stability as all necessary conditions are satisfied.…”