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

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. in Newtonian and Post Newtonian domains. Also, some constraints are imposed on physical quantities to maintain the stability of celestial self-gravitating astrophysical configuration. (C) 2020 Elsevier B.V. All rights reserved.