Gravitational Instantons of Type Dk and a Generalization of the Gibbons–Hawking Ansatz

Radu A. Ionaş

doi:10.1007/s00220-017-2852-7

Gravitational Instantons of Type D_k and a Generalization of the Gibbons–Hawking Ansatz

Radu A. Ionaş

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	691-740
Number of pages	50
Journal	Communications in Mathematical Physics
Volume	355
Issue number	2
DOIs	https://doi.org/10.1007/s00220-017-2852-7
State	Published - Oct 1 2017

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abstract = "We describe a quaternionic-based Ansatz generalizing the Gibbons–Hawking Ansatz to a class of hyperk{\"a}hler metrics with hidden symmetries. We then apply it to obtain explicit expressions for gravitational instanton metrics of type Dk.",

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Gravitational Instantons of Type D_k and a Generalization of the Gibbons–Hawking Ansatz

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