Abstract We study the bending of light in space-time black holes four-dimensional Einstein-Gauss-Bonnet theory gravity, recently proposed by Glavan and Lin Phys. Rev. Lett. , 124 (2020) 081301. Using Rindler-Ishak method, effect Gauss-Bonnet coupling on angle is studied. show that a positive gives negative contribution to Schwarzschild-de Sitter deflection angle, as one would expect.

In this paper, we study the shadow of a 4D Einstein–Gauss–Bonnet black hole as photons couple to Weyl tensor and find that propagation light depends on its polarization which leads existence double shadow. Then, discuss effect coupling parameter [Formula: see text], Gauss–Bonnet constant text] Further, explore influence quasinormal modes (QNMs) massless scalar field investigate connection betwe...