Please consider the differences in Newtonian physics and general relativity.
In Newtonian physics it makes sense that objects placed on a planets surface facing away from the planets star weight less than objects placed on a planets surface facing to the star due to a "centrifugal force"/ the objects inertia.
Considering (my understanding of) general relativity, a planet follows a straight line and the space itself is bend into an orbit. As there is no change in velocity of objects on the surface of the planet there shouldn't be a centrifugal force. Objects on both sides of the planets should have the same weight.
Is there a way to understand this difference and why is there a centrifugal force?