Preprint Article Version 1 This version is not peer-reviewed

Deflection Angle of Photon Through Dark Matter by Black Holes/Wormholes Using the Gauss-Bonnet Theorem

Version 1 : Received: 17 March 2019 / Approved: 19 March 2019 / Online: 19 March 2019 (12:43:41 CET)

A peer-reviewed article of this Preprint also exists.

Övgün, A. Deflection Angle of Photons through Dark Matter by Black Holes and Wormholes Using Gauss–Bonnet Theorem. Universe 2019, 5, 115. Övgün, A. Deflection Angle of Photons through Dark Matter by Black Holes and Wormholes Using Gauss–Bonnet Theorem. Universe 2019, 5, 115.

Journal reference: Universe 2019, 5, 115
DOI: 10.3390/universe5050115

Abstract

Maxwell's fish eye has been known to be a perfect lens in optics. In this letter, using the Gibbons-Werner method, namely Gauss-Bonnet theorem on optical geometry of black hole, we extend the calculation of the weak gravitational lensing within the Maxwell's fisheye as a perfect lensing in medium composed of an isotropic refractive index that near-field information can be obtained from far-field distances. Moreover, these results provide an excellent tool to observe compact massive object by weak gravitational lensing within the dark matter medium and to understand the nature of the dark matter that may effect the gravitational waves. Moreover, we show that Gauss-Bonnet theorem is a global effect and this method can be used as a new tool on any optical geometry of compact objects in dark matter medium.

Subject Areas

Gravitational lensing; Maxwell fisheye; Weak lensing; Dark matter;Gauss-Bonnet theorem; Black hole; Wormhole

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