In Interstellar when they were on the water planet, every minute they spent there, several days passed on Earth. From outside observer’s point of view from Earth, everything happening on the water planet was in slow motion. Why isn’t it the other way around?
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You might find it helpful to think of it the other way around: instead of gravity causing slowed time, think of slowed time as causing gravity.
Picture a tank that has the motor on and is driving northward. If the tank’s right (east) tread is rotating slower than its left (west) tread, this will cause the tank to start turning eastward.
Now picture an object that’s traveling future-ward. If the top part of the object is moving into the future faster than the bottom part of the object, this will cause the object to start turning (i.e. accelerating) downward.
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