String duality transformations in f(R) gravity from Noether symmetry approach - Sorbonne Université Accéder directement au contenu
Article Dans Une Revue Journal of Cosmology and Astroparticle Physics Année : 2016

String duality transformations in f(R) gravity from Noether symmetry approach

Résumé

We select f(R) gravity models that undergo scale factor duality transformations. As a starting point, we consider the tree-level effective gravitational action of bosonic String Theory coupled with the dilaton field. This theory inherits the Busher's duality of its parent String Theory. Using conformal transformations of the metric tensor, it is possible to map the tree-level dilaton-graviton string effective action into f(R) gravity, relating the dilaton field to the Ricci scalar curvature. Furthermore, the duality can be framed under the standard of Noether symmetries and exact cosmological solutions are derived. Using suitable changes of variables, the string-based f(R) Lagrangians are shown in cases where the duality transformation becomes a parity inversion.

Dates et versions

hal-01284962 , version 1 (08-03-2016)

Identifiants

Citer

Salvatore Capozziello, Gabriele Gionti S.J., Daniele Vernieri. String duality transformations in f(R) gravity from Noether symmetry approach. Journal of Cosmology and Astroparticle Physics, 2016, 2016 (01), pp.015. ⟨10.1088/1475-7516/2016/01/015⟩. ⟨hal-01284962⟩
36 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More