Deflection angle and quasi-periodic oscillations of extended gravitational decoupled black hole solution

Abstract

Abstract In weak field limits, we compute the deflection angle of gravitational decoupling extended black hole Solution black hole solution. We obtained the Gaussian optical curvature by examining the null geodesic equations with the help of Gauss–Bonnet theorem. We also looked into the deflection angle of light by black hole in weak field limits with the use of the Gibbons Werner method. We verify the graphical behaviour of the black hole after determining the deflection angle of light. Additionally, in the presence of the plasma medium, we also determine the deflection angle of the light and examine the graphical behaviour. Further, we compute the Einstein ring via gravitational decoupling extended black hole solution. We also compute the quasi-periodic oscillations and discuss their graphical behaviour.