Gravitational Waves in a Codimension Two Braneworld

We consider the propagation of gravitational waves in six dimensions induced by sources living on 3-branes in the context of a recent exact solution hep-th/0506050. The brane geometries are de Sitter and the bulk is a warped geometry supported by a positive cosmological constant as well as a 2-form flux. We show that at low energies ordinary gravity is reproduced, but higher order corrections depend logarithmically on the energy scale of the brane physics even for modes whose frequency is much less than this energy scale. We argue that it is impossible to renormalize this dependence in a straightforward way by the addition of bulk or brane counterterms. We discuss the inclusion of Gauss-Bonnet terms that have been used elsewhere to regulate codimension two branes. We find that such terms do not regulate codimension two branes for compact extra dimensions