Dynamics of Spherically Symmetric Gravitational Collapse in f(R) Theory

We study dynamics of spherically symmetric gravitational collapse in modified f(R) gravity. The matter filled inside the collapsing body is of two types: a) the usual matter that consists of isotropic non-viscous fluid satisfying the energy conditions; b) the matter for which the effective stress-energy tensor contains higher order curvature derivatives violating the null energy conditions. Thus the higher order curvature terms are interpreted as the gravitational fluid or f(R) dark energy. We discuss the effects of such type of dark energy on the coupling of dynamical and transport equations.