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The mysterious dark energy remains one of the greatest puzzles of modernscience. Current detections for it are mostly indirect. The spacetime effectsof dark energy can be locally described by the SdSw metric. Understanding theselocal effects exactly is an essential step towards the direct probe of darkenergy. From first principles, we prove that dark energy can exert a repulsivedark force on astrophysical scales, different from the Newtonian attraction ofboth visible and dark matter. One way of measuring local effects of dark energyis through the gravitational deflection of light. We geometrize the bending oflight in any curved static spacetime. First of all, we define a generalizeddeflection angle, referred to as the Gaussian deflection angle, in amathematically strict and conceptually clean way. Basing on the Gauss-Bonnettheorem, we then prove that the Gaussian deflection angle is equivalent to thesurface integral of the Gaussian curvature over a chosen lensing patch. As anapplication of the geometrization, we study the problem of whether dark energyaffects the bending of light and provide a strict solution to this problem inthe SdSw spacetime. According to this solution, we propose a method to overcomethe difficulty of measuring local dark energy effects. Exactly speaking, wefind that the lensing effect of dark energy can be enhanced by 14 orders ofmagnitude when properly choosing the lensing patch in certain cases. It meansthat we can probe the existence and nature of dark energy directly in our SolarSystem. This points to an exciting direction to help unraveling the greatmystery of dark energy.

Geometrization of light bending and its application to SdSw spacetime