Self Consistent Modeling of a Supermassive Dark Star as a Candidate for JADES-GS-z13-0

Abstract This research presents a numerical analysis of the high-redshift object JADES-GS-z13-0, evaluating the hypothesis that its observed luminosity may be driven by a dark matter-powered stellar engine rather than a traditional galactic stellar population. Utilizing a 1D numerical integration pipeline, we demonstrate the transition from a baseline stellar model to a refined model incorporating dark matter density profiles ($\rho_{\chi}$) and annihilation energy ($\epsilon_{DM}$). The study successfully identifies stable configurations for a "Dark Star" at high redshift, providing a theoretical framework to address the observed luminosity anomalies in early-universe objects. Methodology The study employs an iterative approach to stellar structure equations. Phase 1 evaluates the inclusion of dark matter annihilation energy within the stellar interior. Phase 2 introduces a spatial density profile to account for non-uniform dark matter distribution, allowing for a precise calculation of core radii, surface temperatures, and total solar luminosity output.