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

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, which is 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 properties of the 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 related models of GR with ordinary scalar fields. As a result, for a rather general class of dilaton-scalar gravity models we construct additional first integrals and formulate an integral equation well suited for solving by iterations.

13 pages

References in corpus (4)

• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Reconstructing Dark Energy
• On the Weyl - Eddington - Einstein affine gravity in the context of modern cosmology

Cited by in corpus (2)

• Integrals of equations for cosmological and static reductions in generalized theories of gravity
• On solving dynamical equations in general homogeneous isotropic cosmologies with scalaron