According to general relativity, light : travels along a curve due to length contraction

travels in a straight line

travels along a curve due to uniform speed

travels along a curve due to uniform gravity

travels along a curve due to uniform gravity

Explanation:

General relativity

The theory was developed by Albert Einstein, it is the theory of gravitation, according to which, the gravitation effect which is observed between the masses, is the resultant of their warping of the space time.

In general relativity, the equivalence principle is the equivalence of inertial gravitational mass.

According to which, the light bends due to gravitational forces, therefore, the light travels along a curve because of uniform gravity.