Weak deflection angle by asymptotically flat black holes in Horndeski theory using Gauss-Bonnet theorem

Abstract

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 apply 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 medium as well as non-plasma medium.

13 pages, 4 figures. Accepted for publication in International Journal of Geometric Methods in Modern Physics

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Cited by in corpus (10)

• Weak deflection angle of Kazakov-Solodukhin black hole in plasma medium using Gauss-Bonnet theorem and its greybody bonding
• Quasiperiodic oscillations around hairy black holes in Horndeski gravity
• Deflection angle and shadow of the Reissner-Nordström black hole with higher-order magnetic correction in Einstein-nonlinear-Maxwell fields
• Effect of the magnetic charge on weak deflection angle and greybody bound of the black hole in Einstein-Gauss-Bonnet gravity
• Shadow and deflection angle of asymptotic, magnetically-charged, non-singular black hole
• Weak deflection angle by Kalb-Ramond Traversable Wormhole in Plasma and Dark Matter Mediums
• The Effect of Quark-antiquark Confinement on the Deflection Angle by the NED Black Hole
• Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem
• Total light bending in non-asymptotically flat black hole spacetimes
• Weak gravitational lensing by an ESTGB black hole in the presence of a plasma