Republication of: A new class of vacuum solutions of the Einstein field equations
This reprinting of a paper by Kerr and Schild, first published in 1965 in a conference volume that is difficult to get hold of today, has been selected by the Editors of General Relativity and Gravitation for publication in the Golden Oldies series of the journal. It is the only publication showing how the Kerr solution was originally arrived at. In this reprint the editors have added several footnotes that update the references to the literature. The paper is accompanied by an editorial note written by A. Krasiński, E.Verdaguer and R. P. Kerr, and by the biography of Kerr written by A. Krasiński.