I hate that curved space graphic. Now you have some mysterious gravity pulling both the sun and earth down. I wish someone would come up with a better example to show gravity as curved space.
That graphic is just wrong, and I also hate it.
And gravity isn't the cause of the curvature! It's the effect. The cause is energy (often in the form of mass).
Thank you, Aristotle. Objects not being pushed on continue with constant velocity, they do not stay motionless.
Electrostatic force also causes objects to move. Just making an object move does not make gravity special.