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Navigating the asteroid field: New evaporation constraints for primordial black holes as dark matter
Zachary S. C. Picker
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Primordial black holes (PBHs) in the asteroid-mass range (10⁻¹⁷--10⁻¹²) M_⊙ almost entirely escape constraints as dark matter candidates. In the early universe, however, the Schwarzschild metric is no longer applicable and we must carefully consider PBH metrics with a proper cosmological embedding. In particular, the Thakurta solution stands out as perhaps the most adequate such solution. Notably, the Thakurta metric contains a time-dependent apparent horizon, proportional to the cosmological scale-factor. We show that this implies the PBHs are hotter than in the standard Schwarzschild case, and so evaporate significantly faster via Hawking radiation. By matter-radiation equality, PBHs up to masses of ∼10⁻¹² M_⊙ have totally evaporated, and so cannot be a viable dark matter candidate.
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