Abstract
We investigate the influence of a cosmological constant Λ on gravitational lensing effects. By the method of an elliptic integral, we give the solution to the null geodesic equation in Schwarzschild–de Sitter spacetime. The deflection angle of light is obtained by studying the intrinsic geometry of the spatial equatorial plane in Schwarzschild–de Sitter spacetime. By applying the expansion of elliptic integrals, we find the deflection angle in the weak field limit and in the strong field limit, respectively. We verify that the deflection angle, angular position, and magnification of images are all monotonically decreasing functions of Λ.
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