Integral equation method for effecting Kinnersley-Chitre transformations

The construction of spinning mass solutions of Einstein's vacuum field equations, which can be obtained by applying Kinnersley-Chitre transformations to known solutions, is facilitated by our discovery of a linear integral equation of the Cauchy type, the solution of which yields directly the generating function $F\left(t\right)\mathrm{}$ of the Kinnersley-Chitre hierarchy of potentials associated with the transformed spacetime metric.