Quasi static evolution of compact objects in modified gravity

In this paper, the quasi static-approximation on hydrodynamics of compact objects is proposed in $f(R, T)$ gravity, where $R$ scalar curvature and $T$ trace stress-energy tensor, by exploring axial reflection symmetric space time stuffed with anisotropic dissipative matter contents. The set invariant-velocities defined to comprehend concept static-approximation. As a consequence, evolution shown analyzing corresponding modified field, dynamical equations approximation evoke all feasible outcomes. Furthermore, significance kinematical quantities, heat-fluxes variables are found through approximation.