Implications of Classical Two-Tensor Gravity

We discuss implications of $f-g$ gravity on the level of classical field theory, with special emphasis on its metric structure. We show that although space-time is "bicausal," $f-g$ theory reduces to general relativity in the limit of weak static fields. The discrepancy between the degrees of freedom of the linearized and full theory is discussed. Further, we review all known exact solutions and give a new exact nonvacuum solution.