parameters for viability check on gravitational theories regarding the experimental data

Parameterized post-Newtonian formalism requires an existence of a symmetric metric in a gravitational theory in order to perform aviability check regarding the experimental data. The requirement of a symmetric metric is a strong constraint satisfied by very narrowclass of theories. In this letter we propose a viability check of a theory using the corresponding theory equations of motion. It issufficient that a connection exists, not necessarily a metrical one. The method is based on an analysis of the Lorentz invariant terms in the equations of motion. An example of the method is presented on the Einstein-Infeld-Hoffmann equations.