Scalarization of Bardeen spacetime
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918138785824768 |
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| author | Huang, Long-Xing Wang, Yong-Qiang |
| author_facet | Huang, Long-Xing Wang, Yong-Qiang |
| contents | In this paper, we study the scalarization of the entire Bardeen spacetime which is constructed from a nonlinear magnetic monopole. We find that once the scalarization coupling parameter exceeds the scalarized threshold $a_t$, a scalarized Bardeen spacetime (SBS) solution exists for any magnetic charge $q$. However, the nature of the scalarization depends on the magnetic charge $q$. For $q$ less than a critical vaule $q_c$, when $a$ exceeds $a_t$, the scalar field emerges. As $a$ approaches $a_t$ from above (i.e., $a\to a_t^+$), the scalar field vanishes and the metric is reduced to a pure Bardeen spacetime. This behavior indicates that the solution exhibits the general ``spontaneous" scalarization phenomenon. Conversely, for $q \geq q_c$, in the limit $a \to a_t^+$, the scalar field is non-vanishing and the SBS approaches a ``frozen" SBS. Considering the importance of photon orbits in astronomical observations, we analyze the trajectories of photons around SBSs by analyzing null geodesics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08549 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scalarization of Bardeen spacetime Huang, Long-Xing Wang, Yong-Qiang General Relativity and Quantum Cosmology High Energy Physics - Theory In this paper, we study the scalarization of the entire Bardeen spacetime which is constructed from a nonlinear magnetic monopole. We find that once the scalarization coupling parameter exceeds the scalarized threshold $a_t$, a scalarized Bardeen spacetime (SBS) solution exists for any magnetic charge $q$. However, the nature of the scalarization depends on the magnetic charge $q$. For $q$ less than a critical vaule $q_c$, when $a$ exceeds $a_t$, the scalar field emerges. As $a$ approaches $a_t$ from above (i.e., $a\to a_t^+$), the scalar field vanishes and the metric is reduced to a pure Bardeen spacetime. This behavior indicates that the solution exhibits the general ``spontaneous" scalarization phenomenon. Conversely, for $q \geq q_c$, in the limit $a \to a_t^+$, the scalar field is non-vanishing and the SBS approaches a ``frozen" SBS. Considering the importance of photon orbits in astronomical observations, we analyze the trajectories of photons around SBSs by analyzing null geodesics. |
| title | Scalarization of Bardeen spacetime |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.08549 |