Scalarization of Kerr-Newman black holes in the Einstein-Chern-Simons-scalar theory
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| Format: | Preprint |
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2023
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| author | Fan, Kun-Hui Myung, Yun Soo Zou, De-Cheng Lai, Meng-Yun |
| author_facet | Fan, Kun-Hui Myung, Yun Soo Zou, De-Cheng Lai, Meng-Yun |
| contents | We investigate the tachyonic instability of Kerr-Newman (KN) black hole with a rotation parameter $a$ in the Einstein-Chern-Simons-scalar theory coupled with a quadratic massive scalar field. This instability analysis corresponds to exploring the onset of spontaneous scalarization for KN black holes. First, we find no $a$-bound for $α<0$ case by considering (1+1)-dimensional analytical method. A direct numerical method is adopted to explore (2+1)-dimensional time evolution of a massive scalar perturbation with positive and negative $α$ to obtain threshold curves numerically. We obtain threshold curves $α_{\rm th}(a)$ of tachyonic instability for positive $α$ without any $a$-bounds. We expect to find the same threshold curves $α_{\rm th}(a)$ of tachyonic instability for negative $α$ without any $a$-bound because its linearized scalar theory is invariant under the transformation of $α\to -α$ and $θ\to -θ$. In addition, it is found that the scalar mass term suppresses tachyonic instability of KN black holes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_00144 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Scalarization of Kerr-Newman black holes in the Einstein-Chern-Simons-scalar theory Fan, Kun-Hui Myung, Yun Soo Zou, De-Cheng Lai, Meng-Yun General Relativity and Quantum Cosmology We investigate the tachyonic instability of Kerr-Newman (KN) black hole with a rotation parameter $a$ in the Einstein-Chern-Simons-scalar theory coupled with a quadratic massive scalar field. This instability analysis corresponds to exploring the onset of spontaneous scalarization for KN black holes. First, we find no $a$-bound for $α<0$ case by considering (1+1)-dimensional analytical method. A direct numerical method is adopted to explore (2+1)-dimensional time evolution of a massive scalar perturbation with positive and negative $α$ to obtain threshold curves numerically. We obtain threshold curves $α_{\rm th}(a)$ of tachyonic instability for positive $α$ without any $a$-bounds. We expect to find the same threshold curves $α_{\rm th}(a)$ of tachyonic instability for negative $α$ without any $a$-bound because its linearized scalar theory is invariant under the transformation of $α\to -α$ and $θ\to -θ$. In addition, it is found that the scalar mass term suppresses tachyonic instability of KN black holes. |
| title | Scalarization of Kerr-Newman black holes in the Einstein-Chern-Simons-scalar theory |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2401.00144 |