Gravitational lensing by a charged spherically symmetric black hole immersed in thin dark matter

Abstract

We investigate the gravitational lensing effect around a spherically symmetric black hole, whose metric is obtained from the Einstein field equation with electric charge and perfect-fluid dark matter contributing to its energy-momentum tensor. We do the calculation analytically in the weak field limit and we assume that both the charge and the dark matter are much less abundant (only give rise to the next-leading-order contribution) in comparison to the black hole mass. In particular, we derive the light deflection angle and the size of the Einstein ring, where approximations up to the next-leading order are done with extra care, especially for the logarithmic term from perfect-fluid dark matter. We expect our results will be useful in the future to relate the theoretical model of perfect fluid dark matter with observations of celestial bodies immersed in thin dark matter.

14 pages, 3 figures; v2: adding some references

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• Applications of the Gauss-Bonnet theorem to gravitational lensing
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Cited by in corpus (13)

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• Thermodynamics and evaporation of perfect fluid dark matter black hole in phantom background
• Gravitational lensing and shadow by a Schwarzschild-like black hole in metric-affine bumblebee gravity
• Shadows and rings of a de Sitter-Schwarzschild black hole
• Gravitational Lensing of Spherically Symmetric Black Holes in Dark Matter Halos
• On the analytic generalization of particle deflection in the weak field regime and shadow size in light of EHT constraints for Schwarzschild-like black hole solutions
• Gravitational Lensing of Euler-Heisenberg Black Hole Surrounded by Perfect Fluid Dark Matter
• Cosmological coupled black holes immersed in dark sector
• The influence of cosmological constant on light deflection in rotating spacetimes via the generalized Gibbons-Werner method
• Investigating Graviton Mass Effects on Black Hole Lensing in dRGT Massive Gravity
• Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole