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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Miscellaneous Exotica 553<br />

Fig. 15.1. Required present-day ĠN/G N in order to achieve a true globularcluster<br />

age τ, given that the apparent age is τ ∗ . A linear G N (t) variation <strong>as</strong><br />

in Eq. (15.4) w<strong>as</strong> <strong>as</strong>sumed.<br />

can relate a desired true age τ to a required value <strong>for</strong> Γ 0 (Fig. 15.1).<br />

Conversely, it is probably safe to <strong>as</strong>sume that the true ages of globular<br />

clusters do not exceed 20 Gyr. Then Fig. 15.1 implies that today<br />

Ġ N /G N ∼ < 7×10 −12 yr −1 . (15.6)<br />

A lower age limit is less certain. Taking 8 Gyr one finds Ġ N /G N ∼ ><br />

−35×10 −12 yr −1 which is less certain, and also less interesting relative<br />

to the limits discussed in the previous sections.<br />

Fig. 15.2. Summary of limits on the present-day ĠN/G N . The big-bang<br />

nucleosynthesis limit is not shown <strong>as</strong> it depends sensitively on the <strong>as</strong>sumed<br />

G N (t) variation at early cosmic times.

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