Shadow and geometric scattering analysis of a new black hole with magnetic charge
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910924397346816 |
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| author | Myung, Yun Soo |
| author_facet | Myung, Yun Soo |
| contents | We obtain a newly charged black hole with magnetic charge $q$ and coupling constant $μ$ from the Einstein-nonlinear electrodynamics theory inspired by quasi-topological terms. We perform the shadow and geometric scattering analysis of this black hole. For $μ=0.01$, we have four solution branches labelled by $2\pm$, 3, and 4 of the horizon, while there exists a single branch labelled by 2 for $μ=0.1$. There is the naked singularity (NS) arisen from the magnetic charge extension of the photon spheres for the 3 and 4-branches. In case of $q<1$, shadow radii of the $2$-branch with $μ$=0.01 and 0.1 are the same as that of the Reissner-Nordström black hole, while the 3-NS branch of $q>1$ is constrained by the EHT observation. The geometric scattering analysis is performed to understand the peculiar forms of the critical impact factors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00280 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Shadow and geometric scattering analysis of a new black hole with magnetic charge Myung, Yun Soo General Relativity and Quantum Cosmology High Energy Physics - Theory We obtain a newly charged black hole with magnetic charge $q$ and coupling constant $μ$ from the Einstein-nonlinear electrodynamics theory inspired by quasi-topological terms. We perform the shadow and geometric scattering analysis of this black hole. For $μ=0.01$, we have four solution branches labelled by $2\pm$, 3, and 4 of the horizon, while there exists a single branch labelled by 2 for $μ=0.1$. There is the naked singularity (NS) arisen from the magnetic charge extension of the photon spheres for the 3 and 4-branches. In case of $q<1$, shadow radii of the $2$-branch with $μ$=0.01 and 0.1 are the same as that of the Reissner-Nordström black hole, while the 3-NS branch of $q>1$ is constrained by the EHT observation. The geometric scattering analysis is performed to understand the peculiar forms of the critical impact factors. |
| title | Shadow and geometric scattering analysis of a new black hole with magnetic charge |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.00280 |