Coordinates adapted to metric tensor are common tool in many areas of General Relativity. From the point of view of canonical framework they provide Dirac observables invariant with respect (ideally) to all or (practically) to most of diffeomorphisms. Recently, in that context the coordinates defined by geodesics emanating from observer were studied. In the case of the space like geodesics...
The dynamics of the general (non-diagonal) Bianchi IX model, near the gravitational singularity, underlies the BKL scenario. Asymptotically, the solutions to this dynamics include some special structures named wiggles, which correspond to the oscillatory evolution of the BKL scenario. We propose the formalism, based on the affine quantization scheme, to examine the fate of the wiggles at...