Assuming that dark matter is dominated by WIMPs, it accretes by gravitational attraction and scattering over baryonic material and annihilates inside celestial objects, giving rise to a "dark luminosity" which may potentially affect the evolution of stars. We estimate the dark luminosity achieved by different kinds of stars in a halo with DM properties characteristic of the ones where the first star formation episode occurs. We find that both massive, metal-free and small, galactic-like stars can achieve dark luminosities comparable to or exceeding those due to their nuclear burning. This might have dramatic effects over the evolution of the very first stars, known as Population III.
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