Testing Horndeski Theory Using Light Deflection by Asymptotically Flat Black Holes

Wajiha Javed; Jameela Abbas; Yashmitha Kumaran; Ali Övgün

doi:10.20944/preprints201911.0210.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 16 November 2019 / Approved: 17 November 2019 / Online: 17 November 2019 (15:28:26 CET)
Version 2 : Received: 28 July 2020 / Approved: 29 July 2020 / Online: 29 July 2020 (04:32:40 CEST)

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

PHYSICAL SCIENCES, General & Theoretical Physics

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Testing Horndeski Theory Using Light Deflection by Asymptotically Flat Black Holes

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