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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2507.11215 |
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| _version_ | 1866911057976492032 |
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| author | Melikyan, A. |
| author_facet | Melikyan, A. |
| contents | A family of solutions to the Ernst equation is presented, which, in a certain limit, recovers the Yamazaki-Hori solution - an extension of the Tomimatsu-Sato solutions for all integer values of the deformation parameter $δ$. Our solution also recovers, as a special case, the formulation given by Vein, which is equivalent to the Yamazaki-Hori solution. Furthermore, our construction establishes a connection to a nonlinear differential equation proposed by Cosgrove, which is also associated with the Ernst equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11215 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Yamazaki-Hori solution of the Ernst equation Melikyan, A. High Energy Physics - Theory A family of solutions to the Ernst equation is presented, which, in a certain limit, recovers the Yamazaki-Hori solution - an extension of the Tomimatsu-Sato solutions for all integer values of the deformation parameter $δ$. Our solution also recovers, as a special case, the formulation given by Vein, which is equivalent to the Yamazaki-Hori solution. Furthermore, our construction establishes a connection to a nonlinear differential equation proposed by Cosgrove, which is also associated with the Ernst equation. |
| title | On the Yamazaki-Hori solution of the Ernst equation |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.11215 |