Stability analysis of axial geometry with anisotropic background in f(R,T) gravity

In this paper, we highlight the variables preserving stability of a very restricted class of anisotropic axial symmetrical compact geometry in the scenario of [Formula: see text] gravity, where [Formula: see text] stands for energy–momentum tensor’s trace and [Formula: see text] is invariant Ricci curvature. In the framework of [Formula: see text] gravity, we set up field equations as well as non-conservation equations. We use a perturbation technique for all variables involved in non-conservation equations, field equations, extra curvature terms of modified gravity as well as for considered gravity model (i.e. [Formula: see text]) to evaluate the collapse equation. We establish certain significant constraints for the stiffness parameter [Formula: see text] in Newtonian [Formula: see text] and post-Newtonian [Formula: see text] approximation to study the dynamical instability of a stellar compact configuration. In order to preserve the stability of an anisotropic self-gravitating axially symmetric configuration, we place certain restrictions on physical quantities. To examine the stable and unstable behavior of considered geometry via graphical approaches, we include schematic diagrams at the [Formula: see text] and [Formula: see text] eras.

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