Expansion-free self-gravitating dust dissipative fluids

Abstract

The present study deals with the spherically symmetric distributions of dust dissipative fluids with a central vacuum cavity, evolving under the condition of vanishing of expansion scalar. The work is based on two aspects—on the one hand the description of model in terms of structures scalars emerging in the orthogonal splitting of Riemann tensor. Secondly, to obtain the solutions of dynamical equations under some special cases and assumption on implicit function of variables. The solutions here discussed, model the evolution of the vacuum cavity of fluid distribution, thereby showing the potential of expansion free motion.