A group-theoretic characterisation of Taub-Nut spacetime

preprint2021arXivOpen access

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

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A group-theoretic characterisation of Taub-Nut spacetime

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