How does the acceleration of gravity change in space bodies with depth?

If the space body is homogeneous, then the acceleration of gravity decreases with depth; at the center of the body g = 0. A similar situation is assumed for the terrestrial planets. If the density increases with depth, then the acceleration of gravity will have a maximum at some depth, in the center of the object again g = 0. This situation takes place on the Sun. The maximum acceleration value for the Sun is observed at a distance of 0.217 of the radius of the star from the center.