Implications for vanishing complexity in dynamical spherically symmetric dissipative self-gravitating fluids

Abstract

Abstract The complexity factor, originally based on a probabilistic description of a physical system, was re-defined by Herrera et al. for relativistic systems. This involves an assessment of the energy density inhomogeneity, anisotropic and shear stresses, and in the case of radiating collapse, the effects of heat flux. Already well integrated into the modelling of static configurations, the complexity factor is now being studied with respect to dynamical, self-gravitating systems. For static systems, the constraint of vanishing complexity is typically used however for the non-static case, the physical viability of the vanishing condition is less clear. To this end, we consider the ideal case of vanishing complexity in order to solve for the time-dependent gravitational potentials and generate models. We find that vanishing complexity constrains the metric to be of a form similar to that of Maiti’s conformally flat metric.