Generation of Asymptotically Flat, Stationary Space-Times with Any Number of Parameters

Abstract

A method is presented for generating stationary, axisymmetric, asymptotically flat, vacuum solutions of Einstein's equation with an arbitrary number of mass and angularmomentum parameters. As an example, a two-parameter asympotically flat solution, generalizing extreme Kerr, is generated from flat space. It is conjectured that the method, applied to the general static metric, can be used to generate all stationary, axisymmetric, asymptotically flat metrics.