Scalarizations of qOS-extremal black hole and Aretakis instability
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| Format: | Preprint |
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2025
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| _version_ | 1866908563780141056 |
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| author | Myung, Yun Soo |
| author_facet | Myung, Yun Soo |
| contents | We study scalarization of quantum Oppenheimer-Snyder (qOS)-extremal black hole in the Einstein-Gauss-Bonnet-scalar theory.
This black hole is described by mass ($M=4\sqrtα/3\sqrt{3}$) with $α$ quantum parameter. From studying onset of scalarization, we find the appearance of the single branch of scalarized qOS-extremal black holes. To obtain the tachyonic scalar cloud being a seed to generate the single branch of scalarized qOS-extremal black holes, we consider the near-horizon geometry of the Bertotti-Bobinson (BR) spacetime. In this case, we find that the appearance of a large scalar cloud at the horizon ($ρ=0$) is a new feature to represent onset scalarization of extremal black holes for tachyon with negative mass, but it is not related to the Aretakis instability of a propagating scalar with standard mass around the BR spacetime, showing polynomial instability of the ingoing time $v$. The Aretakis instability is connected to the scalar cloud with standard mass, indicating the blow-up at the horizon. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_24113 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scalarizations of qOS-extremal black hole and Aretakis instability Myung, Yun Soo General Relativity and Quantum Cosmology High Energy Physics - Theory We study scalarization of quantum Oppenheimer-Snyder (qOS)-extremal black hole in the Einstein-Gauss-Bonnet-scalar theory. This black hole is described by mass ($M=4\sqrtα/3\sqrt{3}$) with $α$ quantum parameter. From studying onset of scalarization, we find the appearance of the single branch of scalarized qOS-extremal black holes. To obtain the tachyonic scalar cloud being a seed to generate the single branch of scalarized qOS-extremal black holes, we consider the near-horizon geometry of the Bertotti-Bobinson (BR) spacetime. In this case, we find that the appearance of a large scalar cloud at the horizon ($ρ=0$) is a new feature to represent onset scalarization of extremal black holes for tachyon with negative mass, but it is not related to the Aretakis instability of a propagating scalar with standard mass around the BR spacetime, showing polynomial instability of the ingoing time $v$. The Aretakis instability is connected to the scalar cloud with standard mass, indicating the blow-up at the horizon. |
| title | Scalarizations of qOS-extremal black hole and Aretakis instability |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.24113 |