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C-theory provides a unified framework to study metric, metric-affine and moregeneral theories of gravity. In the vacuum weak-field limit of these theories,the parameterized post-Newtonian (PPN) parameters $\beta$ and $\gamma$ candiffer from their general relativistic values. However, there are severalclasses of models featuring long-distance modifications of gravity butnevertheless passing the Solar system tests. Here it is shown how to computethe PPN parameters in C-theories and also in nonminimally coupled curvaturetheories, correcting previous results in the literature for the latter.

The post-Newtonian limit in C-theories of gravitation