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arXiv · 1611.09939

Gravitational instantons of type $D_k$ and a generalization of the Gibbons-Hawking Ansatz

Radu A. Ionas
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Abstract

We describe a quaternionic-based Ansatz generalizing the Gibbons-Hawking Ansatz to a class of hyperkähler metrics with hidden symmetries. We then apply it to obtain explicit expressions for gravitational instanton metrics of type $D_k$.

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Radu A. Ionas. 2016-11-29. Gravitational instantons of type $D_k$ and a generalization of the Gibbons-Hawking Ansatz. https://doi.org/10.1007/s00220-017-2852-7

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