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We discuss the effects of a possible time variation of the Newton constant$G_{\rm N}$ on light elements production in Big Bang Nucleosyntesis (BBN). Weprovide analytical estimates for the dependence of primordial abundances on thevalue of the Newton constant during BBN. The accuracy of these estimates isthen tested by numerical methods. % Moreover, we determine numerically theresponse of each element to an arbitrary time-dependent modification of theearly universe expansion rate. Finally, we determine the bounds on possiblevariations of $G_{\rm N}$ which can be obtained from the comparison oftheoretical predictions and observational data.Comment: 11 pages, 2 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Response of primordial abundances to a general modification of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>G</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:math>and/or of the early universe expansion rate

Response of primordial abundances to a general modification ofGNand/or of the early universe expansion rate