The bending of light's path due to gravity, described by general relativity and parameterized by Σ.Light deflection is the bending of a light ray's path when it passes near a massive object, a phenomenon predicted by Einstein's general relativity. The effect is twice the Newtonian prediction because gravity affects both the curvature of space and the time component of light's trajectory. The parameter Σ (sigma) is used to quantify deviations from general relativity, allowing tests of alternative gravity theories.
First measured by Arthur Eddington during the 1919 solar eclipse, confirming general relativity. The parameter Σ was introduced later in the context of parametrized post-Newtonian (PPN) formalism.
Massive objects warp spacetime around them. Light travels along geodesics, the straightest possible paths in curved spacetime. When light passes near a mass, its path curves toward the mass. The deflection angle depends on the mass and the closest approach distance. In modified gravity theories, Σ can differ from 1, altering the predicted deflection.
Used in gravitational lensing to map dark matter distributions, measure galaxy masses, and detect exoplanets via microlensing.
The deflection of light by the Sun is about 1.75 arcseconds, roughly the width of a human hair seen from 1 kilometer away.



