Аннотация
Nuclear star clusters, that fragment into metal-poor stars in situ at the
centers of protogalaxies, provide ideal environments for the formation of
intermediate-mass black holes with masses $10^3-10^6M_ødot$. We utilize the
semi-analytic model implemented in Rapster, a public rapid cluster evolution
code. We implement simple recipes for stellar collisions and gas
accretion/expulsion into the code and identify the regimes where each channel
contributes to the dynamical formation of intermediate-mass black holes via
repeated mergers of stellar black-hole seeds. We find that intermediate-mass
black hole formation is almost inevitable if the initial mean density of the
nuclear cluster is $>10^8M_pc^-3$. Million solar mass black holes
can form within 100 Myr in the heaviest ($>10^7M_ødot$) and most compact
($<0.5~pc$) nuclear clusters. We demonstrate that by today these resemble
the observed range of nuclear clusters in dwarf galaxies and that there are
potential gravitational-wave signatures of the massive black-hole formation
process.
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