I believe if you are using a movable directional light, the problem is not related to Lightmaps, unless you are using other static or stationary lights in the scene. Try setting your SkyLight to movable as well.
There are some options about Shadows (like Bias) in the directional light options that could help.
Otherwise, it appears that could be related to Ambient Occlusion, but i dont know the options to tweak 
Good luck and let us know if you fix the issues