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Nucleosynthesis bounds on the Schmidt-Greiner-Heinz-Müller theory of gravitation.

We present a detailed calculation of light-element production in the Schmidt-Greiner-Heinz-Muller theory of gravitation. The comparison of our results with current observations implies very strong bounds on the allowed deviation from general relativity. These bounds lead to cosmological models which do not significantly differ from the standard Friedmann-Robertson-Walker (FRW) predictions. This result, together with those previously obtained in the literature for other scalar-tensor theories, allows us to conclude that there still does not exist any alternative metric theory of gravitation with a scalar field leading to a viable cosmological evolution distinguishable from the standard FRW one