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(t) of the Kinnersley-Chitre hierarchy of potentials associated with the transformed spacetime metric. © 1979 The American Physical Society.