Quasi static analysis of axially symmetric radiating system in f(R) gravity

In order to study the slowly evolving regimes of the self-gravitating fluid composition, the quasi-static approach is the most suitable and effective. In this scenario, the self-gravitating source evolves slightly to be expected in a stable state preserving the hydro-static equilibrium. In this paper, we shall examine the slowly evolving behavior of an axial symmetric relativistic system within the setting of Palatini f(R) gravity. To pursue this analysis, the dissipative and anisotropic fluid configuration is proposed. We formulate the relativistic equations to examine the dynamical behavior of the radiating source. The tidal forces effects on our evolving system will also be checked. The invariant velocity functions along with the kinematical variables are presented to grasp the notion of quasi-static limitations. It is concluded that the kinematical variables also reveal a strong gravitational influence in the background of Palatini f(R) gravity. All the consequences would be accomplished in general relativity [Herrera et al., Int. J. Mod. Phys. D25 1650036 (2016)] under the usual limits.