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

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growth <strong>of</strong> Lacc can be seen in Fig. 2.12. <strong>The</strong> discontinuous slope in the ac-<br />

cretion luminosity is an artefact <strong>of</strong> our approxim<strong>at</strong>e modelling <strong>of</strong> protostellar<br />

structure.<br />

Since the accretion luminosity does not exceed either Eddington lumi-<br />

nosity, we conclude th<strong>at</strong> for the dur<strong>at</strong>ion <strong>of</strong> our simul<strong>at</strong>ion, radi<strong>at</strong>ion pressure<br />

is not likely to significantly change the early accretion r<strong>at</strong>es we have found. At<br />

l<strong>at</strong>er times, when the protostar reaches higher masses, however, and in partic-<br />

ular when it reaches the ZAMS and hydrogen burning turns on, such feedback<br />

effects will become more important, and can no longer be neglected.<br />

2.5 Parameter Sensitivity<br />

How commonly do Pop III stars form in multiples? To wh<strong>at</strong> extent does<br />

this result depend on the initial cosmological parameter values, particularly<br />

the value for σ8? Is there a rel<strong>at</strong>ion between the spin <strong>of</strong> a minihalo and the<br />

probability th<strong>at</strong> it will host a Pop III multiple (see section 4.1)? To address<br />

this uncertainty, we make an initial estim<strong>at</strong>e <strong>of</strong> the sensitivity <strong>of</strong> our results<br />

to differing values <strong>of</strong> σ8 <strong>by</strong> comparing the specific angular momentum pr<strong>of</strong>ile<br />

<strong>of</strong> the central 1000 M⊙ <strong>of</strong> our simul<strong>at</strong>ion with th<strong>at</strong> <strong>of</strong> Abel et al. (2002) and<br />

Yoshida et al. (2006) (Fig. 2.13). <strong>The</strong> angular momentum pr<strong>of</strong>ile for our work<br />

is taken <strong>at</strong> the point immedi<strong>at</strong>ely before the first sink forms. Abel et al. (2002)<br />

initialized their simul<strong>at</strong>ion using h=0.5, ΩΛ = 0, ΩB = 0.06 and σ8 = 0.7.<br />

Yoshida et al. (2006) used h=0.7, ΩΛ = 0.7, ΩB = 0.04 and σ8 = 0.9. If<br />

the particular parameter values used in initializing our calcul<strong>at</strong>ion made the<br />

central gas more prone to develop a fl<strong>at</strong>tened disk-like structure th<strong>at</strong> would<br />

l<strong>at</strong>er fragment, this would first be apparent in an enhanced angular momentum<br />

pr<strong>of</strong>ile. However, despite the varying initial conditions used for each <strong>of</strong> these<br />

46

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