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

Gravitational Instantons of Type D k and a Generalization of the Gibbons–Hawking Ansatz 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 . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Mathematical Physics Springer Journals

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

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Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2017 by Springer-Verlag Berlin Heidelberg
Subject
Physics; Theoretical, Mathematical and Computational Physics; Mathematical Physics; Quantum Physics; Complex Systems; Classical and Quantum Gravitation, Relativity Theory
ISSN
0010-3616
eISSN
1432-0916
D.O.I.
10.1007/s00220-017-2852-7
Publisher site
See Article on Publisher Site

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 .

Journal

Communications in Mathematical PhysicsSpringer Journals

Published: Mar 7, 2017

References

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