The Framework of Relativistic Geodesy: What do we know?

Conventional geodesy builds on (the concepts of) Newtonian gravity. Thus, at the level of a relativistic theory of gravity, the underlying framework needs to be extended and basic notions need to be generalized.
This opens an entirely new perspective on the matter - chronometric geodesy - which investigates gravity by, e.g., the use of clocks and clock networks.
In this talk, the status of the theoretical framework of relativistic geodesy will be discussed and basic concepts such as the potential(s), multipole moments, geoid, reference ellipsoid, and height notions in the conventional and in the relativistic framework will be addressed. Moreover, observables and measurement prescriptions are discussed and an outlook on future developments is given.