O(d,d) duality transformations in F(R) theories of gravity

Autor:	Gionti, Gabriele, J, S.
Rok vydání:	2016
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	The argument of Hodge duality symmetry is introduced starting from the electromagnetic field. Introducing bosonic string theory, O(d,d) duality symmetry can be implemented when there exist d-symmetries, which allows one to write Hodge-dual fields. A tree-level effective gravitational action of bosonic string theory coupled with the dilaton field is considered. This theory inherits the Busher's duality of its parent string theory. The dilaton field can be recast into the Weyl's mode of the metric tensor in the Jordan frame. This maps the effective one-loop bosonic string theory of gravity into a Lagrangian of a f(R) function. Constraining this f(R)-Lagrangian on a FLRW metric and using Noether symmetries approach for extended theory of gravity, it is possible to show that the Lagrangian exibits a Gasperini-Veneziano duality symmetry. Comment: 6 pages ,contribution to the proceedings of the 14th Marcel Grossmann Meeting , Rome 12-18 July 2015
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1608.05223 Zobrazit plný text záznamu View this record from Arxiv