Abstract
Observations of quasars at $z> 6$ suggest the presence of black holes with a
few times $10^9 ~M_ødot$. Numerous models have been proposed to explain
their existence including the direct collapse which provides massive seeds of
$10^5~M_ødot$. The isothermal direct collapse requires a strong
Lyman-Werner flux to quench $H_2$ formation in massive primordial halos. In
this study, we explore the impact of trace amounts of metals and dust
enrichment. We perform three dimensional cosmological simulations for two halos
of $> 10^7~M_ødot$ with $Z/Z_ødot= 10^-4-10^-6$ illuminated
by an intense Lyman Werner flux of $J_21=10^5$. Our results show that
initially the collapse proceeds isothermally with $T 8000$ K but dust
cooling becomes effective at densities of $10^8-10^12 ~cm^-3$ and
brings the gas temperature down to a few 100-1000 K for $Z/Z_ødot \geq
10^-6$. No gravitationally bound clumps are found in $Z/Z_ødot łeq
10^-5$ cases by the end of our simulations in contrast to the case with $\rm
Z/Z_ødot = 10^-4$. Large inflow rates of $0.1~M_ødot/yr$ are
observed for $Z/Z_ødot 10^-5$ similar to a zero-metallicity case
while for $Z/Z_ødot = 10^-4$ the inflow rate starts to decline
earlier. For given large inflow rates a central star of $\sim
10^4~M_ødot$ may form for $Z/Z_ødot 10^-5$. Even in the case
of strong fragmentation, a dense stellar cluster is expected to form which may
later collapse into a black hole seed of up to $1000~M_ødot$.
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