On the extension of the Obukhov theorem in non-Riemannian gravity. I (Q2737989)

The author announces a series of papers concerning the generalizations of the Doreli-Obukhov-Tucker-Wang theorem in the Tucker-Wang approach to metric affine gravity. The main theorem in this paper establishes the form of the generalized Einstein equation for the non-Riemannian dilation gravity action NEWLINE\[NEWLINES= \int [k\psi^2 R^*1+ \beta(d\psi\wedge^*d\psi)+{\alpha\over 2} f_1(\psi)(dQ\wedge^* dQ)+ {\gamma\over 2} f_2(\psi)(Q\wedge^*Q)- V(\psi)^*1].NEWLINE\]