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arXiv · gr-qc/9809076

A Proof of Uniqueness of the Taub-bolt Instanton

Marc Mars·Walter Simon
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Abstract

We show that the Riemannian Schwarzschild and the ``Taub-bolt'' instanton solutions are the only spaces (M,g) such that 1) M is a 4-dimensional, simply connected manifold with a Riemannian, Ricci-flat C^2-metric g which admits (at least) a 1-parameter group of isometries H without isolated fixed points on M. 2) The quotient (M L)/H (where L is the set of fixed points of H) is an asymptotically flat manifold, and the length of the Killing field corresponding to H tends to a constant at infinity.

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Marc Mars, Walter Simon. 2000-02-11. A Proof of Uniqueness of the Taub-bolt Instanton. https://doi.org/10.1016/s0393-0440(99)00023-6

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