TY - JOUR

T1 - Effect of Horndeski theory on weak deflection angle using the Gauss-Bonnet theorem

AU - Övgün, Ali

AU - Kumaran, Yashmitha

AU - Javed, Wajiha

AU - Abbas, Jameela

N1 - Publisher Copyright:
© 2022 World Scientific Publishing Company.

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - deflection angle

KW - Gauss-Bonnet theorem

KW - Horndeski black hole

KW - Weak gravitational lensing

UR - http://www.scopus.com/inward/record.url?scp=85135287584&partnerID=8YFLogxK

U2 - 10.1142/S0219887822501924

DO - 10.1142/S0219887822501924

M3 - Article

AN - SCOPUS:85135287584

JO - International Journal of Geometric Methods in Modern Physics

JF - International Journal of Geometric Methods in Modern Physics

SN - 0219-8878

M1 - 2250192

ER -