Removal of Singularities in The Collective Coordinate Description of Localised Solutions of Klein Gordon Models

We examine the singularities in the collective coordinate equations obtained by a variational method for the description of localised solutions of Klein-Gordon models. Following a procedure from Riemannian geometry we show that the scalar curvature for the tensor associated to the kinetic energy remains finite at the singularity; this indicates that the above singularity is not essential and can be removed by a proper choice of coordinates. For the sine-Gordon breather and the kink antikink solutions in φ 4 we present transformations which remove the singularity without changing the ansatz.