Abstract
We study the dynamical collapse and fragmentation of low-metallicity cloud cores using three-dimensional hydrodynamical calculations, and we devote particular attention to whether or not the cores fragment in the dust-cooling phase. The cores become elongated in the dust-cooling phase because they are unstable to nonspherical perturbation due to the sudden temperature decrease. In the metallicity range of 10-6 to 10-5 Z☉, cores with an initial axis ratio 2 reach a critical value of the axis ratio (30) and fragment into multiple small clumps. This provides a possible mechanism to produce low-mass stars in ultra-metal-poor environments.
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