Stationary axisymmetric vacuum space-times in general relativity are considered. The Riemannian metric induced on the space of the time-like Killing trajectories is assumed to be ellipsoidal. It is demonstrated that the only ellipsoidal solutions of the vacuum Einstein's equations are the Kerr-NUT family with vanishing electric and magnetic charges.
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Astronomy and Astrophysics
- Physics and Astronomy(all)