On a Simple Representation of the Kinnersley-Chitre Metric

TL;DR

This paper simplifies the Kinnersley-Chitre metric for spinning masses by revealing structural similarities with Tomimatsu-Sato solutions, and explores configurations of two extreme Kerr sources separated by a strut.

Contribution

It provides a concise representation of the Kinnersley-Chitre metric and identifies specific configurations of two extreme Kerr sources with a strut.

Findings

Derived a simplified form of the Kinnersley-Chitre metric.

Identified all configurations of two extreme Kerr sources separated by a strut.

Discussed the properties of a four-parameter family of asymptotically flat spacetimes.

Abstract

A concise form of the Kinnersley-Chitre five-parameter metric for a spinning mass is obtained by exploiting a remarkable similarity between the metric's factor structure and the analogous structure of the Tomimatsu-Sato solutions with even distortion parameter delta. The corresponding general subfamily of asymptotically flat spacetimes containing four arbitrary real parameters is considered, and all configurations describing two extreme Kerr sources separated by a strut are identified and briefly discussed.