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Departamento de Gravitación y Teoría de CamposSeminarios 2015 |
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Instituto de Ciencias Nucleares, UNAM |
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Departamento de Gravitación y Teoría de CamposSeminarios 2015 |
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Instituto de Ciencias Nucleares, UNAM |
Jueves 15 de octubre, a las 17:00 hrs en la Sala de Seminarios A2.25, 2. piso del ICN
Gabriele Gionti (Vatican Observatory)
String Duality Transformations in f(R) Gravity from Noether Symmetry approach
| 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 effective one-loop bosonic string theory of gravity 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. |
