Deflection angle of photon through dark matter by black holes and wormholes using the Gauss-Bonnet theorem

Ali Övgün

doi:10.3390/universe5050115

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arXiv · 1806.05549

Deflection angle of photon through dark matter by black holes and wormholes using the Gauss-Bonnet theorem

Ali Övgün

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Abstract

In this research, we use the Gibbons-Werner method (Gauss-Bonnet theorem) on the optical geometry of a black hole and wormhole, extending the calculation of the weak gravitational lensing within the Maxwell's fish eye-like profile and dark matter medium. The angle is seen as a partially topological effect and the Gibbons-Werner method can be used on any asymptotically flat Riemannian optical geometry of compact objects in dark matter medium.

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Ali Övgün. 2018-06-13. Deflection angle of photon through dark matter by black holes and wormholes using the Gauss-Bonnet theorem. https://doi.org/10.3390/universe5050115

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