Anti-self-dual spacetimes, gravitational instantons and knotted zeros of the Weyl tensor

Abstract We derive a superpotential for null electromagnetic fields in which the field line structure is in the form of an arbitrary torus knot. These fields are shown to correspond to single copies of a class of anti-self-dual Kerr-Schild spacetimes containing the Sparling-Tod metric. This metric i...

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Bibliographic Details
Main Authors: Snigdh Sabharwal, Jan Willem Dalhuisen
Format: Article
Language:English
Published: SpringerOpen 2019-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP07(2019)004