Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# Weak Deflection Angle of Black-bounce Traversable Wormholes Using Gauss-Bonnet Theorem in the Dark Matter Medium

Version 1 : Received: 23 August 2020 / Approved: 24 August 2020 / Online: 24 August 2020 (08:14:48 CEST)

A peer-reviewed article of this Preprint also exists.

Journal reference: Turkish Journal of Physics 2020, 44, 465
DOI: 10.3906/fiz-2008-11

## Abstract

In this paper, first we use the optical metrics of black-bounce traversable wormholes to calculate the Gaussian curvature. Then we use the Gauss-Bonnet theorem to obtain the weak deflection angle of light from the black-bounce traversable wormholes. Then we investigate the effect of dark matter medium on weak deflection angle using the Gauss-Bonnet theorem. We show how weak deflection angle of wormhole is affected by the bounce parameter $a$. Using the Gauss-bonnet theorem for calculating weak deflection angle shows us that light bending can be thought as a global and topological effect.

## Subject Areas

relativity and gravitation; gravitational lensing; deflection angle; wormholes; Gauss-Bonnet theorem

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