Suppose a "solar system", or "black-holar system"?, in which the star is replaced by a black hole. There is no source of energy, I know, but somehow an advanced civilization managed to live in this place. This civilization is spread among all the planets in this system. Due to the strong differences in the curvature of space-time, each planet has very different conditions when we look at the system as a whole yet they are small enough such that locally things are not very different between one another. One of the effects is that the time runs much slower in the innermost planets than in the outermost planets. Yet this civilization inhabits both planets and they interact and they trade, etc.
So imagine for a while that such a thing is possible (maybe there is also a star orbiting, I don't know), I want to discuss about the socio-economic effects rather than the physiological aspect, which has been discussed in other questions.
E.g. time running at very different rates implies that perhaps time itself is a valuable good to trade. From the point of view of someone who lives in the innermost planet, people in the outermost planets can do things in a very short time, so probably manufacturing industries would be in the outermost planets. From the point of view of someone who is in the outermost planet, things run very slow in the innermost planet so he can send things to store there with much less aging than in his own planet. So people in the innermost planet could sell this no-aging-storing service.
As another example: Tourism will probably be highly affected. People in the innermost planets can vacation in their own planet as we do on Earth. But someone in the outermost planets cannot go to the innermost planet for vacation as his/her/its boss will get very angry if he/she/it takes a lot of vacations. On the other way around, people in the innermost planets would be happy to vacation in the outermost planets as they can make, e.g., a single day in their jobs equivalent to one or two weeks in the outermost planets. If they take two weeks in their jobs, they can spend two or three months in the outermost planets in vacation.
What other effects would this have in economy and society?