Single Kerr-Schild metric for Taub-NUT instanton
Abstract
It is shown that a complex coordinate transformation maps the Taub-Newman-Unti-Tamburino instanton metric to a Kerr-Schild metric. This metric involves a semi-infinite line defect as the gravitational analog of the Dirac string, much like the original metric. Moreover, it facilitates three versions of classical double copy correspondence with the self-dual dyon in electromagnetism, one of which involves a nonlocal operator. The relevance to the Newman-Janis algorithm is briefly noted.
Copyright and License
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Acknowledgement
We would like to thank Tim Adamo, Clifford Cheung, Maciej Dunajski, Jung-Wook Kim, Andres Luna, Donal O’Connell, Lionel Mason, Nabha Shah, Justin Vines, and Chirs D. White for discussions and insightful comments. We are also grateful to Gabriel Herczeg, Max Pezzelle, and Jash Desai for bringing the author’s attention to the works [56, 124] after the initial release of this paper and also the follow-up discussions. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632. J.-H. K. is also supported by Ilju Academy and Culture Foundation.
Funding
This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632. J.-H. K. is also supported by Ilju Academy and Culture Foundation.
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Additional details
- Alternative title
- Note on the Taub-NUT Instanton Metric
- United States Department of Energy
- DE-SC0011632
- Ilju Academy and Culture Foundation
- SCOAP3
- Accepted
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2024-12-17Accepted
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Publication Status
- Published