Stability of self-gravitating anisotropic fluids in f(R,T) gravity

Abstract

Abstract This manuscript aims to discuss the factors holding in/stability of axially symmetric compact system with anisotropic environment in the background of f ( R , T ) gravity, where R is invariant Ricci curvature and T stands for trace of energy–momentum tensor. We constituted field and conservation equations in the background of f ( R , T ) gravity. To establish the collapse equation, we make use of perturbation for all the variables involving in conservation equations, field equations, extra curvature terms of modified gravity and the particular f ( R , T ) model. To estimate dynamical in/stability of celestial compact system, we acquired some meaningful constraints for adiabatic index γ in Newtonian and Post Newtonian domains. Also, some constraints are imposed on physical quantities to maintain the stability of celestial self-gravitating astrophysical configuration.