Towards a hybrid compactification with a scalar–tensor global cosmic string

Abstract

We derive a solution of the gravitational equations which leads to a braneworld scenario insix dimensions, using a global cosmic string solution in a low energy effective string theoryframework. The final spacetime is composed by one warped brane with topology and a power law warp factor, and one non-compact extra dimension transverseto the brane; by looking at the current experimental bounds, we find a range of parametersin which, if the on-brane dimension has an acceptable size, it does not solve the hierarchyproblem. In another example, this problem is smoothed by means of the Brans–Dickeparameter.