An exhaustive study of homogeneous and isotropic cosmological models in the Schmidt-Greiner-Heinz-M\"uller (SGHM) theory of gravitation is performed, where present values of dynamical functions are consistent with astronomical observations and solar-system experiments. We find two types of SGHM models: a first class which is exactly equal to the standard general relativistic (GR) cosmological models, and a second class which never reduces to GR. Some analytical and numerical solutions for the second type of SGHM models are then obtained. The age of the Universe predicted by these models is compatible with the age of old globular clusters except for weak bounds on the Δ₀ parameter defined in this paper.
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Serna et al. (1993) studied this question.
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