Effective Levi-Civita dilaton theory from Metric Affine Dilaton gravity

Abstract

We show how a Metric Affine theory of Dilaton gravity can be reduced to an effective Riemannian Dilaton gravity model. A simple generalization of the Obukhov-Tucker-Wang theorem to Dilaton gravity is then presented.

On the triviality of certain non-Riemannian models of gravitation

“…In this paper the simple case in which the action depends only on the variables λ, e has been presented. If other variables are introduced like metric invariant fields, Dilatons, [7][8][9] etc; the theory becomes more complicate. We expect to study these more general cases in th near future.…”