RELATIVE OBSERVER KINEMATICS IN GENERAL-RELATIVITY

The straightforward reformulation of special relativistic concepts abo ut relative observer kinematics in the context of the flat affine geom etry of Minkowski spacetime, so that they respect the manifold structu re of that spacetime, allows one to derive the general relativistic 'a ddition of acceleration law'. This transformation law describes the re lationship between the relative accelerations of a single test particl e as seen by two different families of test observers.