Effects of non-minimally coupled <i>f</i>(<i>R</i>, <i>T</i>) gravity on the stability of a self-gravitating spherically symmetric fluid

This paper is focused on the in/stability of a collapsing anisotropic self-gravitating spherically symmetric compact fluid under the influence of non-minimally coupled f(R, T) gravitational theory, where R and T are traces of Ricci tensor and stress-energy tensor, respectively. We explore the f(R, T) equations of motion as well as conservation equations. We utilize the perturbation technique on dynamical equations, and physical quantities to get the collapse equation in a similar scenario. In the presence of considered f(R, T)-function (i.e. [Formula: see text]), to explain the dynamical behavior of the considered anisotropic relativistic fluid system. Furthermore, to address the issue of in/stability, the conditions on adiabatic index [Formula: see text] i.e. stiffness parameter of fluid, are developed for Newtonian [Formula: see text]-[Formula: see text] and post-Newtonian ([Formula: see text]-[Formula: see text]. Several physical constraints are imposed to maintain the un/stable fluid structure.

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