Imprints of dark matter on the structural properties of minimally deformed compact stars

TL;DR

This paper develops analytical models of anisotropic dark matter compact stars using the Einasto density profile and gravitational decoupling, providing viable configurations for dark matter stellar structures.

Contribution

It introduces a novel analytical approach combining the Einasto profile with the Adler-Finch-Skea metric and gravitational decoupling to model dark matter in compact stars.

Findings

Models produce well-behaved astrophysical configurations.

Dark matter influences the anisotropic pressure profiles.

The approach satisfies realistic compact star conditions.

Abstract

In this manuscript, we investigate the possibility of constructing anisotropic dark matter compact stars motivated by the Einasto density profile. This work develops analytical solutions for an anisotropic fluid sphere within the framework of the well-known Adler-Finch-Skea metric. This toy model incorporates an anisotropic fluid distribution that includes a dark matter component. We use the minimal geometric deformation scheme within the framework of gravitational decoupling to incorporate anisotropy into the pressure profile of the stellar system. In this context, we model the temporal constituent of the $\Theta$-field sector to characterize the contribution of dark matter within the gravitational matter source. We present an alternative approach to studying anisotropic self-gravitating structures. This approach incorporates additional field sources arising from gravitational decoupling, which act as the dark component. We explicitly verify whether the proposed model satisfies all the requirements for describing realistic compact structures in detail. We conclude that the modeling of the Einasto density model with the Adler-Finch-Skea metric gives rise to the formation of well-behaved and viable astrophysical results that can be employed to model the dark matter stellar configurations.