Deflection Angle of Photons through Dark Matter by Black Holes and Wormholes Using Gauss–Bonnet Theorem
by
Ali Övgün 1,2
Ali Övgün 1,2
1
Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4950, Valparaíso, Chile
2
Physics Department, Arts and Sciences Faculty, Eastern Mediterranean University, North Cyprus via Mersin 10, Famagusta 99628, Turkey
Universe 2019, 5(5), 115; https://doi.org/10.3390/universe5050115
Received: 17 March 2019 / Revised: 9 May 2019 / Accepted: 9 May 2019 / Published: 14 May 2019
(This article belongs to the Special Issue Gravitational Lensing and Optical Geometry: A Centennial Perspective)
In this research, we used the Gibbons–Werner method (Gauss–Bonnet theorem) on the optical geometry of a black hole and wormhole, extending the calculation of 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 a dark-matter medium.
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Keywords:
gravitational lensing; weak deflection; dark matter; Gauss–Bonnet theorem; black hole; wormhole
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MDPI and ACS Style
Övgün, A. Deflection Angle of Photons through Dark Matter by Black Holes and Wormholes Using Gauss–Bonnet Theorem. Universe 2019, 5, 115.
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