Compact Stars Sourced by Dark Matter Halos and Their Frozen States

TL;DR

This paper explores horizonless compact stars influenced by dark matter halos, generalizing black hole models to include frozen states that mimic black holes without event horizons, potentially serving as dark matter black hole mimickers.

Contribution

It introduces a broader class of dark matter-sourced compact star solutions that relax traditional conditions, including the possibility of frozen states mimicking black holes.

Findings

Broader class of horizonless compact star solutions identified.

Frozen states can mimic black hole features without horizons.

Solutions may satisfy weak energy conditions.

Abstract

Inspired by regular black holes (RBHs) sourced by dark matter halos, we generalize the anisotropic energy-momentum tensor by relaxing the $P_r = -\rho$ condition between radial pressure and density. We demonstrate that while RBHs are a unique special case, a broader class of relations yields horizonless compact stars. Under specific parameter limits, these objects approach a ``frozen state," mimicking black hole features without an event horizon. These compact star solutions could satisfy weak energy conditions and provide a robust mechanism for dark matter-sourced black hole mimickers.