Singularity-free dark energy star

TL;DR

This paper introduces a new anisotropic dark energy star model that is regular, stable, and free of singularities, based on a proportional relationship between dark energy pressure and matter density.

Contribution

The paper presents a novel anisotropic dark energy star model with specific pressure-density relations, ensuring regularity and stability, which advances theoretical understanding of such compact objects.

Findings

Model satisfies all regularity conditions

Model is stable under perturbations

Model is free of singularities

Abstract

We propose a model for an anisotropic dark energy star where we assume that the radial pressure exerted on the system due to the presence of dark energy is proportional to the isotropic perfect fluid matter density. We discuss various physical features of our model and show that the model satisfies all the regularity conditions and stable as well as singularity-free.