A Space/Time Interchange Symmetry of Rotating AdS Black Holes in General Dimensions
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914789108744192 |
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| author | Lu, Si-Yue Zhao, Peng Lu, H. |
| author_facet | Lu, Si-Yue Zhao, Peng Lu, H. |
| contents | We revisit the previously known local inversion symmetry of the five-dimensional Kerr-AdS metric that relates the over-rotating black hole to the under-rotating one and reinterpret it as an interchanging symmetry between time and the longitudinal angular coordinates. We generalize this to all $D$ dimensions, including $D=4$, thereby enlarging the trivial linear $\mathbb Z_N$ symmetry of the $N=\lfloor(D-1)/2\rfloor$ longitudinal angular coordinates to the nonlinearly realized $\mathbb Z_{N+1}$ symmetry that involves time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05367 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Space/Time Interchange Symmetry of Rotating AdS Black Holes in General Dimensions Lu, Si-Yue Zhao, Peng Lu, H. High Energy Physics - Theory General Relativity and Quantum Cosmology We revisit the previously known local inversion symmetry of the five-dimensional Kerr-AdS metric that relates the over-rotating black hole to the under-rotating one and reinterpret it as an interchanging symmetry between time and the longitudinal angular coordinates. We generalize this to all $D$ dimensions, including $D=4$, thereby enlarging the trivial linear $\mathbb Z_N$ symmetry of the $N=\lfloor(D-1)/2\rfloor$ longitudinal angular coordinates to the nonlinearly realized $\mathbb Z_{N+1}$ symmetry that involves time. |
| title | A Space/Time Interchange Symmetry of Rotating AdS Black Holes in General Dimensions |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.05367 |