We review recent progress in the study of varying constants and attempts to explain the observed values of the fundamental physical constants. We describe the variation of $G$ in Newtonian and relativistic scalar-tensor gravity theories. We highlight the behaviour of the isotropic Friedmann solutions and consider some striking features of primordial black hole formation and evaporation if $G$ varies. We discuss attempts to explain the values of the constants and show how we can incorporate the simultaneou s variations of several 'constants' exactly by using higher-dimensional unified theories. Finally, we describe some new observational limits on possible space or time variations of the fine structure constant.
CITATION STYLE
Barrow, J. D. (1998). Varying G and Other Constants. In Current Topics in Astrofundamental Physics: Primordial Cosmology (pp. 269–305). Springer Netherlands. https://doi.org/10.1007/978-94-011-5046-0_8
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