Dilaton-scalar models in the context of generalized affine gravity theories: Their properties and integrability

E. Davydov, A.T. Filippov1

Abstract

Nowadays it is widely accepted that the evolution of the Universe was driven by some scalar degrees of freedom both on its early stage and at present. The corresponding cosmological models often involve some scalar fields introduced ad hoc. In this paper we cultivate a different approach, based on a derivation of new scalar degrees of freedom from fundamental modifications of Einstein's gravity. In elaboration of our previous work, we here investigate the properties of dilaton-scalar gravity obtained by dimensional reductions of a recently proposed affine generalized gravity theory. We show that these models possess the same symmetries as the related models of GR with ordinary scalar fields.

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