Stability analysis of axial geometry with anisotropic background in f(R,T)f(R,T) gravity
Abstract
In this paper, we highlight the variables preserving stability of a very restricted class of anisotropic axial symmetrical compact geometry in the scenario of f(R,T)f(R,T) gravity, where TT stands for energy–momentum tensor’s trace and RR is invariant Ricci curvature. In the framework of f(R,T)f(R,T) 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. f(R,T)=R+ζRn+χTf(R,T)=R+ζRn+χT) to evaluate the collapse equation. We establish certain significant constraints for the stiffness parameter ΓΓ in Newtonian (𝒩) and post-Newtonian (𝒫𝒩) 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 𝒩 and 𝒫𝒩 eras.
