Why is relativity theory geometrical in nature?
Harvey Brown (Faculty of Philosophy, University of Oxford)
The chrono-geometric nature of the gmn in general relativity is not a consequence of Einstein's field equations. It depends on the validity of the strong equivalence principle, and hence the way matter fields couple to the gmn, a point reinforced by bimetric theories of gravity. This point is also important in understanding how the special relativistic limit of general relativity can be understood geometrically.