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

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.

Anisotropic stars made of exotic matter within the complexity factor formalism

“…However, the real value of such definition becomes evident when we use it as a supplementary condition to close the set of differential equations of a self-gravitational system. What is more, the complexity factor could be used as a self-consistent way to incorporate anisotropies [68,69], see also [70][71][72][73][74][75][76][77] and references therein.…”

Anisotropic stars made of exotic matter within the complexity factor formalism

“…However, the real value of such definition becomes evident when we use it as a supplementary condition to close the set of differential equations of a self-gravitational system. Additionally, the complexity factor may serve as a self-consistent method for integrating anisotropies [68,69], which has been explored in recent studies [70][71][72][73][74][75][76][77] and their associated references.…”

Gaussian curvature of spherical shells: a geometric measure of complexity

“…Recent studies in complexity include gravitational collapse, embedding, gravitational coupling and static irrotational matter [13,[28][29][30], in radiating stars in general relativity. Some other recent works on complexity in self-gravitaing systems are contained in the works [31][32][33][34][35].…”