Single Kerr-Schild Metric for Taub-NUT Instanton
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929642957438976 |
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| author | Kim, Joon-Hwi |
| author_facet | Kim, Joon-Hwi |
| contents | It is shown that a complex coordinate transformation maps the Taub-NUT 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 involving a nonlocal operator. The relevance to the Newman-Janis algorithm is briefly noted. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09518 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Single Kerr-Schild Metric for Taub-NUT Instanton Kim, Joon-Hwi High Energy Physics - Theory General Relativity and Quantum Cosmology It is shown that a complex coordinate transformation maps the Taub-NUT 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 involving a nonlocal operator. The relevance to the Newman-Janis algorithm is briefly noted. |
| title | Single Kerr-Schild Metric for Taub-NUT Instanton |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.09518 |