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We study inhomogeneous cosmological variations in the fine structure `'constant'' in Friedmann universes. Inhomogeneous motions of the scalar field driving changes in display spatial oscillations that decrease in amplitude with increasing time. The inhomogeneous evolution quickly approaches that found for exact Friedmann universes. We prove a theorem to show that oscillations of in time (or redshift) cannot occur in Friedmann universes in the Bekenstein-Sandvik-Barrow-Magueijo theories considered here.
Barrow et al. (Mon,) studied this question.
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