Compact Stars Sourced by Perfect Fluid Dark Matter Halos

TL;DR

This paper demonstrates that isotropic perfect fluid dark matter halos, modeled with Einasto and Dehnen profiles, can support stable, non-singular compact stars without horizons, expanding understanding of dark matter's role in compact objects.

Contribution

It introduces a new class of stable, horizonless compact star solutions sourced by isotropic perfect fluid dark matter halos using galactic density profiles.

Findings

Found non-singular, horizonless solutions supported by dark matter halos.

Confirmed stability of these configurations against axial perturbations.

Ensured solutions satisfy the dominant energy condition.

Abstract

Recent studies have shown that dark matter halos can support regular black holes or compact stars by assuming an anisotropic energy-momentum tensor. In this paper, we extend the analysis to the dark matter halo as an isotropic perfect fluid. By employing galactic dark matter profiles-specifically the Einasto and Dehnen models-as the mass-energy density source, we numerically solve the Einstein field equations and find a class of non-singular, horizonless compact star solutions. Moreover, these configurations remain stable against axial perturbations while satisfying the dominant energy condition.