Orbits of light rays in scale-dependent gravity: Exact analytical solutions to the null geodesic equations

We study photon orbits in the background of (1+3)-dimensional static, spherically symmetric geometries. In particular, we have obtained exact analytical solutions to the null geodesic equations for light rays in terms of the Weierstraß function for space-times arising in the context of scale-dependent gravity. The trajectories in the (x-y) plane are shown graphically, and we make a comparison with similar geometries arising in different contexts. The light deflection angle is computed as a function of the running parameter ζ, and an upper bound for the latter is obtained.