Optical Signatures of a Schwarzschild Black Hole in a Dehnen-Type Dark Matter Halo
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914318106230784 |
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| author | Sharipov, Javokhir Khasanov, Jonibek Sheoran, Pankaj Shaymatov, Sanjar Ahmedov, Bobomurat |
| author_facet | Sharipov, Javokhir Khasanov, Jonibek Sheoran, Pankaj Shaymatov, Sanjar Ahmedov, Bobomurat |
| contents | In this paper, the optical effects that occur near a Schwarzschild-like black hole (BH) with a Dehnen-type $(1,4,2)$ dark matter (DM) halo are explored. We first derive the photon sphere radius and obtain an analytical expression for the deflection angle in the weak-field regime by applying the Gauss-Bonnet theorem (GBT). For the strong-field regime, we perform ray-tracing calculations to examine the behavior of light trajectories and determine the corresponding number of orbits. We further compute the BH shadow and gravitational lensing in a plasma medium and provide constraints arising from the DM halo parameters. We also extend our analysis to weak gravitational lensing within plasma environments, considering both uniform and singular isothermal sphere (SIS) distributions. We find the analytical expressions for the deflection angle in the presence of plasma and examine the resulting effects on image magnification. The overall results highlight how DM halo properties and plasma characteristics jointly alter observable lensing signatures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09168 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Optical Signatures of a Schwarzschild Black Hole in a Dehnen-Type Dark Matter Halo Sharipov, Javokhir Khasanov, Jonibek Sheoran, Pankaj Shaymatov, Sanjar Ahmedov, Bobomurat General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena Plasma Physics In this paper, the optical effects that occur near a Schwarzschild-like black hole (BH) with a Dehnen-type $(1,4,2)$ dark matter (DM) halo are explored. We first derive the photon sphere radius and obtain an analytical expression for the deflection angle in the weak-field regime by applying the Gauss-Bonnet theorem (GBT). For the strong-field regime, we perform ray-tracing calculations to examine the behavior of light trajectories and determine the corresponding number of orbits. We further compute the BH shadow and gravitational lensing in a plasma medium and provide constraints arising from the DM halo parameters. We also extend our analysis to weak gravitational lensing within plasma environments, considering both uniform and singular isothermal sphere (SIS) distributions. We find the analytical expressions for the deflection angle in the presence of plasma and examine the resulting effects on image magnification. The overall results highlight how DM halo properties and plasma characteristics jointly alter observable lensing signatures. |
| title | Optical Signatures of a Schwarzschild Black Hole in a Dehnen-Type Dark Matter Halo |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena Plasma Physics |
| url | https://arxiv.org/abs/2602.09168 |