%0 Journal Article %T Nonlinear Lagrangians of the Ricci type %A Andrzej Borowiec %J Physics %D 1999 %I arXiv %X The Euler-Lagrange equations for some class of gravitational actions are calculated by means of Palatini principle. Polynomial structures with Einstein metrics appear among extremals of this variational problem. %U http://arxiv.org/abs/gr-qc/9906043v1