Employing shadow radius to constrain extra dimensions in black string space-time with dark matter halo
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913628752445440 |
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| author | Yan, Zening |
| author_facet | Yan, Zening |
| contents | We study the shadow of five-dimensional black strings immersed in dark matter environment. We show the influence of the momentum characteristic parameter $\widetilde{P_{y}}$ of the extra compact dimension on the shadow radius, and we provide the constraint range $0~\leq~\widetilde{P_{y}}~\lesssim~0.171215$ in the static Schwarzschild black string solution based on the observed data. Furthermore, we give the effective range $2.16138~\text{mm}~\lesssim~\ell~<~2.6~\text{mm}$ for the extra length $\ell$ and $\mathrm{k}~\lesssim~0.07398$ for the compactness parameter $\mathrm{k}$ in the environment near a black hole. We also find that the momentum characteristic parameter $\widetilde{P_{y}}$ of extra dimension will affect the effective range of dark matter related parameters when using shadow radius as a constraint tool. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20109 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Employing shadow radius to constrain extra dimensions in black string space-time with dark matter halo Yan, Zening General Relativity and Quantum Cosmology We study the shadow of five-dimensional black strings immersed in dark matter environment. We show the influence of the momentum characteristic parameter $\widetilde{P_{y}}$ of the extra compact dimension on the shadow radius, and we provide the constraint range $0~\leq~\widetilde{P_{y}}~\lesssim~0.171215$ in the static Schwarzschild black string solution based on the observed data. Furthermore, we give the effective range $2.16138~\text{mm}~\lesssim~\ell~<~2.6~\text{mm}$ for the extra length $\ell$ and $\mathrm{k}~\lesssim~0.07398$ for the compactness parameter $\mathrm{k}$ in the environment near a black hole. We also find that the momentum characteristic parameter $\widetilde{P_{y}}$ of extra dimension will affect the effective range of dark matter related parameters when using shadow radius as a constraint tool. |
| title | Employing shadow radius to constrain extra dimensions in black string space-time with dark matter halo |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2412.20109 |