Effect of Horndeski theory on weak deflection angle using the Gauss-Bonnet theorem

Ali Övgün, Yashmitha Kumaran, Wajiha Javed, Jameela Abbas

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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 nonplasma medium is examined.

Original languageEnglish
Article number2250192
JournalInternational Journal of Geometric Methods in Modern Physics
Volume19
Issue number12
DOIs
StatePublished - 1 Oct 2022
Externally publishedYes

Keywords

  • Gauss-Bonnet theorem
  • Horndeski black hole
  • Weak gravitational lensing
  • deflection angle

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