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Copyright by Athena Ranice Stacy 2011 - The University of Texas at ...

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which has already detected GRBs <strong>at</strong> a redshift as high as z ≈ 8.2 (Salv<strong>at</strong>erra<br />

et al. 2009; Tanvir et al. 2009), and may also be detected <strong>by</strong> possible future<br />

missions such as JANUS and EXIST.<br />

We emphasize the cave<strong>at</strong> th<strong>at</strong> we did not fully resolve stellar scales.<br />

We have measured the total angular momentum accreted within racc 50 AU<br />

<strong>of</strong> the star, and we have argued th<strong>at</strong> a Keplerian disk and perhaps a binary is<br />

expected to form on sub-sink scales, still leaving enough angular momentum<br />

for one or two rapidly rot<strong>at</strong>ing stars. However, there are further processes<br />

which can transport angular momentum away from rot<strong>at</strong>ing stars. For in-<br />

stance, angular momentum may be lost through stellar winds, but the mass<br />

and angular momentum loss through winds is expected to be much lower for<br />

low-metallicity and Pop III stars than for higher-metallicity stars (Nugis and<br />

Lamers 2000; Kudritzki 2002). Other processes include disk torques induced<br />

<strong>by</strong> gravit<strong>at</strong>ional instability as well as viscous torques, which have a variety <strong>of</strong><br />

sources including hydromagnetic instability (see, e.g. Papaloizou and Lin 1995<br />

for a review).<br />

In particular, the magneto-hydrodynamic (MHD) aspect <strong>of</strong> Pop III star<br />

form<strong>at</strong>ion is still very uncertain (e.g. Maki and Susa 2007), and we therefore<br />

here neglect any angular momentum loss due to magnetic torques. Earlier<br />

work, however, gives some hint as to the possible effect <strong>of</strong> magnetic fields.<br />

Machida et al. (2008) conclude th<strong>at</strong> if a star-forming primordial cloud has a<br />

large enough initial magnetic field (B > 10 −9 [n/10 3 cm −3 ] 2/3 G), a protostellar<br />

jet will be driven provided th<strong>at</strong> the cloud’s rot<strong>at</strong>ional energy is less than its<br />

magnetic energy. However, Xu et al. (2008) find th<strong>at</strong> the Biermann b<strong>at</strong>tery<br />

mechanism and flux freezing alone will not amplify magnetic fields in a collaps-<br />

ing halo quickly enough to reach this threshold value. In contrast, small-scale<br />

127

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