Dynamical aspects of asymmetric Eddington gravity with scalar fields

In Eddington gravity, the action principle involves only symmetric parts of connection and Ricci tensor, with a metric that emerges proportionally to latter. Here, we relax this character, prolong antisymmetric term, allow for various couplings scalar fields. We propose two possible invariant actions formed by distinct combinations independent tensors show generated must involve an additional part due relaxation symmetrization property. The comprehensive study shows second curvature influences dynamics connection, hence its solution in terms metric, evolution These new dynamical features are expected stand viable have interesting implications domains where fields indispensable.