Two descriptions of dark matter around a black hole: photon sphere, shadow, and lensing
arXiv:2512.17304 · doi:10.1016/j.physletb.2026.140367
Abstract
We examine the observational discrepancies of two widely used models describing anisotropic (dark) matter distributions around a black hole, focusing on their photon spheres, shadow radii, and lensing observables. The models considered are the vacuum and Einstein cluster dark matter models, characterized by negative and zero radial pressure, respectively. The analysis reveals that these models display contrasting photon sphere behaviors. In particular, the Einstein cluster results in a more pronounced deviation in the shadow radius relative to the standard Schwarzschild black hole. Additionally, a distinctive lensing phenomenon associated with the matter halo is identified in both models.
arXiv comment6 pages, 4 figures + supplementary material. Matches the published version. Corrected some typos in the supplementary material
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