The picture I see in documentaries is a flat piece of cloth depressed downward by the large mass, say a star, and objects falling into the depression. But this is one side of the star.So if I were to look on the other side of the star, there would be another depression going on the opposite side. So, these two depressions should cancel right?
Seems to me in this case the Newtonian concept of gravity being influenced by a point in the centre of the larger object ... seems more intuitive in this scenario