Abstract. We present a simple novel derivation, ab initio, of the equations appropriate for stationary axisymmetric spacetimes using the Papapetrou form of the metric (Papapetrou gauge). It is shown that using coordinates which preserve the Papapetrou gauge three separated solutions of the Ernst equations appear in the case of the Kerr metric. In this context a parameter arises which represents topological defects induced by an infinite static string along the z axis. Finally, we discuss a simple solution that may be derived from the Kerr ansatz.

PACS numbers: 04.20.−q, 04.20.Jb

Print publication: Issue 19 (7 October 2004)
Received 23 June 2004, in final form 13 August 2004
Published 17 September 2004