Abstract
The goal of this article is to investigate instability constraints under the influence of f(R,T) gravity in which the Lagrangian is taken as a varying function of Ricci scalar invariant (R) and trace of energy–momentum tensor (T). We examined the stable behavior of axial symmetrical compact fluid configuration with anisotropic conditions. We formulated modified field equations as well as conservation equations in the background of this particular gravity. We constitute the collapse equation, which follows from the perturbation method by applying it to the geometrical and material quantities. A particular f(R,T) gravity model, i.e, f(R,T)=R+αR2+σR+λT is used and perturbed along with conservation and field equations for the systematic analysis. Furthermore, to determine stability criteria of astral configuration, we impose substantial physical conditions in the expression of Γ (i.e., adiabatic index) at Newtonian (N) and post-Newtonian (pN) domains. Also, one can impose constraints on physical entities to establish and maintain its un/stable behavior with the influence of a certain f(R,T) model.
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