Publication 1: Consistent Lorentz Violation in Flat and Curved Space. (URL) Publication 2: Domain Walls As Probes Of Gravity. (URL) Publication 3: Radion effective potential in the brane world. (URL) URL of Research: Statement of Interest:
I am interested in a number of topics ranging from massive gravity theories to inflation in models with topological defects and/or branes and in string compactifications. Regarding the infrared modifications of gravity, DGP-like models with higher co-dimension branes can provide realizations massive gravity perhaps even more interesting than the co-dimension 1 example. However, quite generically, in higher co-dimensions one finds difficulties related to resolving the brane structure and the appearance of ghosts. One of my projects is to try to build models that avoid these problems. In the context of string cosmology, I am also interested in finding realizations of inflation in string compactifications. For example, it would be interesting to find compactifications that allow a period of topological inflation, very much in the same lines of the Racetrack model. In general, a co-dimension two brane (a vortex) with a large winding number can become super-massive and it undergoes topological inflation. This can be also generalized to higher codimension defects. It would be interesting to find explicit realizations of this mechanism for inflation in flux compactifications.