Space time curve is like the layers of the Earth the atmosphere has a lesser curvature than the oceans, the ocean floors have a greater curvature than the oceans, the mantle has a greater curvature, the core has the greatest curvature.
The greater the curvature of space,
the slower time goes relative to the time passing,
in a lesser space-time curvature.
If one was to go into a greater curvature of space, you wouldn't notice a slower pace of time, but things may appear farther away,
as it would take more of your time to get there.