It is possible to construct classical models of extra-dimensions based on Field Theory and General Relativity. The goal is to gain deeper understanding into these systems based on tractable and well known theories. In particular, the so-called Randall-Sundrum (RS) models in various dimensions can be modelised as hyper-dimensional topological defects. Our present studies concern the realisation of the Dvali-Gabadadze-Porrati mechanism inside hyper-dimensional monopoles, in which four-dimensional gravity can be obtained by trapping gravitons.
External collaborators: Antonio De Felice (The University of Tokyo, Japan).
Modifications of gravity
The recent acceleration of the universe is explained in the standard model by the presence of a non-vanishing cosmological constant. However, one may also question the validity of General Relativity on length scales that have never been so accurately tested so far. However, it is not trivial to modify gravity and to build at the same time a model which can survive all the experimental tests. In collaboration with S. Capozziello, we looked for cosmological exact solutions for modifications of gravity in the form f(R) where f possesses a constant of motion during the evolution of the universe. In the future we plan to look for the subset of solutions which can describe experimental data from radiation domination up to today's accelerated expansion.
I have been working also in the so called f(G) gravity. This is a work made in collaboration with Shinji Tsujikawa, which aims to give some necessary conditions for a cosmologically viable f(G) gravity, where G is the Gauss-Bonnet scalar, that is a particular quadratic combination of the Riemann tensor. This scalar, G, has the property that, if not coupled, it can be written as a total derivative. Along with these conditions, we provide also some toy-models which fulfill them.