Stellar models with like--Tolman IV complexity factor

TL;DR

This paper develops new stellar models using a generalized complexity factor based on the Tolman IV solution, aiding in understanding compact stars like SMC X-1 and Cen X-3.

Contribution

It introduces a novel approach to stellar modeling by incorporating a generalized complexity factor to close the differential equations in gravitational decoupling.

Findings

Models are physically acceptable for specific compact stars.

The generalized complexity factor extends previous solutions.

Density ratios are analyzed in the context of stellar stability.

Abstract

In this work, we construct stellar models ba-\break sed on the complexity factor as a supplementary condition which allows to close the system of differential equations arising from the Gravitational Decoupling. The assumed complexity is a generalization of the one obtained from the well known Tolman IV solution. We use Tolman IV, Wyman IIa, Durgapal IV and Heintzmann IIa as seeds solutions. Reported compactness parameters of SMC X-1 and Cen X-3 are used to study the physical acceptability of the models. Some aspects related to the density ratio are also discussed.