Spacetime doesn’t affect the shape of celestial objects but certainly gravity does. The more massive the object the more gravity it has. The force of gravity likes to pull it’s surroundings towards it’s densest point. If the object were a cube then the corners would be farther away from the centre of the cube than the sides of the cube are. So, over time, the cube flattens itself out to one bland surface, a sphere (or something much more round than a cube).
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