Bardeen Spacetime with Charged Dirac Field
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917841578491904 |
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| author | Sun, Shi-Xian Huang, Long-Xing Zhao, Zhen-Hua Wang, Yong-Qiang |
| author_facet | Sun, Shi-Xian Huang, Long-Xing Zhao, Zhen-Hua Wang, Yong-Qiang |
| contents | In this article, we investigate soliton solutions in a system involving a charged Dirac field minimally coupled to Einstein gravity and the Bardeen field. We analyze the impact of two key parameters on the properties of the solution family: the magnetic charge $p$ of the Bardeen field and the electric charge $q$ of the Dirac field. We discover that the introduction of the Bardeen field alters the critical charge of the charged Dirac field. In reference [1], solutions named frozen stars are obtained when the magnetic charge is sufficiently large and the frequency approaches zero. In this paper, we define an effective frequency and find that, when the magnetic charge is sufficiently large, a frozen star solution can also be obtained, at which point the effective frequency approaches zero rather than the frequency itself. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12969 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bardeen Spacetime with Charged Dirac Field Sun, Shi-Xian Huang, Long-Xing Zhao, Zhen-Hua Wang, Yong-Qiang General Relativity and Quantum Cosmology High Energy Physics - Theory In this article, we investigate soliton solutions in a system involving a charged Dirac field minimally coupled to Einstein gravity and the Bardeen field. We analyze the impact of two key parameters on the properties of the solution family: the magnetic charge $p$ of the Bardeen field and the electric charge $q$ of the Dirac field. We discover that the introduction of the Bardeen field alters the critical charge of the charged Dirac field. In reference [1], solutions named frozen stars are obtained when the magnetic charge is sufficiently large and the frequency approaches zero. In this paper, we define an effective frequency and find that, when the magnetic charge is sufficiently large, a frozen star solution can also be obtained, at which point the effective frequency approaches zero rather than the frequency itself. |
| title | Bardeen Spacetime with Charged Dirac Field |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.12969 |