K. Jedamzik et Jc. Niemeyer, Primordial black hole formation during first-order phase transitions - art. no. 124014., PHYS REV D, 5912(12), 1999, pp. 4014
Primordial black holes (PBHs) may form in the early universe when pre-exist
ing adiabatic density fluctuations enter into the cosmological horizon and
recollapse. It has been suggested that PBH formation may be facilitated whe
n fluctuations enter into the horizon during a strongly first-order phase t
ransition which proceeds in approximate equilibrium. We employ general-rela
tivistic hydrodynamics numerical simulations in order Co follow the collaps
e of density fluctuations during first-order phase transitions. We find tha
t during late stages of the collapse fluctuations separate into two regimes
, an inner part existing exclusively in the high-energy density phase with
energy density epsilon(h), surrounded by an outer part which exists exclusi
vely in the low-energy density phase with energy density epsilon(h)-L, wher
e L is the latent heat of the transition. We confirm that the fluctuation d
ensity threshold delta epsilon/epsilon required for the formation of PBHs d
uring first-order transitions decreases with increasing L and falls below t
hat for PBH formation during ordinary radiation dominated epochs. Our resul
ts imply that, in case PBHs form at all in the early universe, their mass s
pectrum is most likely dominated by the approximate horizon masses during e
pochs when the universe undergoes phase transitions. [S0556-2821(99)01010-3
].