Static four-charge squashed black hole in five-dimensional $STU-W^2U$ supergravity and its thermodynamics
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866913143000662016 |
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| author | Wu, Di Wu, Shuang-Qing |
| author_facet | Wu, Di Wu, Shuang-Qing |
| contents | In this paper, we present a remarkably simple expression for the exact solution to the $D = 5$, $\mathcal{N} = 2$ supergravity coupled to three vector multiplets with the prepotential $\mathcal{V} = STU -W^2U \equiv 1$, which represents a five-dimensional static Kaluza-Klein black hole with squashed $S^3$ horizons and four independent electric charges. It is asymptotically locally flat and has a spatial infinity $R \times S^1 \hookrightarrow S^2$. We compute its conserved charges via the counterterm method and demonstrate that the thermodynamic quantities satisfy both the first law and Bekenstein-Smarr mass formula, provided the length of the compact extra dimension is treated as a thermodynamic variable. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_14315 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Static four-charge squashed black hole in five-dimensional $STU-W^2U$ supergravity and its thermodynamics Wu, Di Wu, Shuang-Qing High Energy Physics - Theory General Relativity and Quantum Cosmology In this paper, we present a remarkably simple expression for the exact solution to the $D = 5$, $\mathcal{N} = 2$ supergravity coupled to three vector multiplets with the prepotential $\mathcal{V} = STU -W^2U \equiv 1$, which represents a five-dimensional static Kaluza-Klein black hole with squashed $S^3$ horizons and four independent electric charges. It is asymptotically locally flat and has a spatial infinity $R \times S^1 \hookrightarrow S^2$. We compute its conserved charges via the counterterm method and demonstrate that the thermodynamic quantities satisfy both the first law and Bekenstein-Smarr mass formula, provided the length of the compact extra dimension is treated as a thermodynamic variable. |
| title | Static four-charge squashed black hole in five-dimensional $STU-W^2U$ supergravity and its thermodynamics |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2601.14315 |