The Skyrme model of KK is a model of gravitational radiation in general relativity (GR) in which the flux of the graviton is introduced as a free particle. These authors propose a description of this model on a Bose-Hilbert model. On the other hand, the authors propose a description of the model on the equivariant path-integral. This equivariant path-integral describes the Skyrme model in the presence of a non-compact object.