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Weak Deflection Angle by Asymptotically Flat Black Holes in Horndeski Theory Using Gauss-Bonnet Theorem
: Received: 16 November 2019 / Approved: 17 November 2019 / Online: 17 November 2019 (15:28:26 CET)
: Received: 28 July 2020 / Approved: 29 July 2020 / Online: 29 July 2020 (04:32:40 CEST)
A peer-reviewed article of this Preprint also exists.
Journal reference: International Journal of Geometric Methods in Modern Physics 2020
The principal objective of this project is to investigate the gravitational lensing by asymptotically flat black holes in the framework of Horndeski theory in weak field limits. To achieve this objective, we utilize the Gauss-Bonnet theorem to the optical geometry of asymptotically flat black holes and applying the Gibbons-Werner technique to achieve the deflection angle of photons in weak field limits. Subsequently, we manifest the influence of plasma medium on deflection of photons by asymptotically flat black holes in the context of Horndeski theory. We also examine the graphical impact of deflection angle on asymptotically flat black holes in the background of Horndeski theory in plasma as well as non-plasma medium.
weak gravitational lensing; deflection of light; black hole; deflection angle; Horndeski theory; Gauss-Bonnet theorem
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