Dilaton-scalar models in the context of generalized affine gravity theories: Their properties and integrability
| Autor: | A. T. Filippov, E. A. Davydov |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
High Energy Physics - Theory
Physics Gravity (chemistry) Degrees of freedom Scalar (mathematics) FOS: Physical sciences Astronomy and Astrophysics Context (language use) General Relativity and Quantum Cosmology (gr-qc) Mathematical Physics (math-ph) General Relativity and Quantum Cosmology Theoretical physics symbols.namesake High Energy Physics - Theory (hep-th) Homogeneous space symbols Dilaton Affine transformation Einstein Mathematical Physics |
| Zdroj: | Gravitation and Cosmology. 19:209-218 |
| ISSN: | 1995-0721 0202-2893 |
| DOI: | 10.1134/s0202289313040051 |
| Popis: | 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. Comment: 13 pages |
| Databáze: | OpenAIRE |
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