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Weak Gravitational Lensing by Horndeski Theory Using the Gauss-Bonnet Theorem
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: Received: 7 January 2020 / Approved: 9 January 2020 / Online: 9 January 2020 (07:16:09 CET)
How to cite: Javed, W.; Abbas, J.; Kumaran, Y.; Övgün, A. Weak Gravitational Lensing by Horndeski Theory Using the Gauss-Bonnet Theorem. Preprints 2020, 2020010074 (doi: 10.20944/preprints202001.0074.v1). Javed, W.; Abbas, J.; Kumaran, Y.; Övgün, A. Weak Gravitational Lensing by Horndeski Theory Using the Gauss-Bonnet Theorem. Preprints 2020, 2020010074 (doi: 10.20944/preprints202001.0074.v1).
Abstract
The main goal of this paper is to study the weak gravitational lensing by Horndeski black hole in weak field approximation. In order to do so, we exploit the Gibbons-Werner method to the optical geometry of Horndeski black hole and implement the Gauss-Bonnet theorem to accomplish the deflection angle of light in weak field region. Furthermore, we have endeavored to extend the scale of our work by comprising the impact of plasma medium on the deflection angle as properly. Later, the graphical influence of the deflection angle of photon on Horndeski black hole in plasma and non-plasma medium is examined.
Subject Areas
weak gravitational lensing; Horndeski black hole; deflection angle; Gauss-Bonnet theorem
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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