A group-theoretic characterisation of Taub-Nut spacetime

Abstract

We prove that any $G=SU(2)\times U(1)$ symmetric spacetime that is Ricci flat (i.e. solves the matter-free $\Lambda =0$ Einstein equations) with non-null $G$-orbits is locally isometric to some maximally extended generalised Taub-NUT spacetime.

25 pages, no figures

References in corpus (1)

• Analytic treatment of complete and incomplete geodesics in Taub-NUT space-times