Anisotropic star models in the context of vanishing complexity

TL;DR

This paper constructs and analyzes three anisotropic star models with zero complexity in general relativity, demonstrating their physical plausibility and stability, and discusses related models with specific anisotropy conditions.

Contribution

It introduces three new anisotropic star models with vanishing complexity, providing a framework for realistic and stable solutions in relativistic astrophysics.

Findings

Models are physically acceptable and stable under chosen parameters

Feasibility of models is confirmed through geometric and material condition tests

Discussion of models with specific anisotropy conditions and their limitations

Abstract

We use the definition of complexity for static and self--gravitating objects to build up three physical general relativistic anisotropic models fulfilling the vanishing complexity condition which serves to provide the extra information needed to close the system of Einstein field equations. We evaluate the physical acceptability of these models by testing some of the conditions that the geometric and material sector must satisfy in order to be considered as reasonable realistic models. We present the results of this analysis by asserting that the studied cases demonstrate to be feasible and stable under the chosen set of parameters. Furthermore, the $P_{\perp}=0$ and the Consenza's anisotropy models that seem not satisfying the expect conditions are also discussed.