Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-10-15
Int.J.Mod.Phys. D13 (2004) 165-186
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
24 pages, 0 figures, to appear on Int. Jour. Mod. Phys. D
Scientific paper
10.1142/S0218271804004359
We present a new reformulation of the canonical quantum geometrodynamics, which allows to overcome the fundamental problem of the frozen formalism and, therefore, to construct an appropriate Hilbert space associate to the solution of the restated dynamics. More precisely, to remove the ambiguity contained in the Wheeler-DeWitt approach, with respect to the possibility of a (3 + 1)-splitting when the space-time is in a quantum regime, we fix the reference frame (i.e. the lapse function and the shift vector) by introducing the so-called kinematical action; as a consequence the new super-Hamiltonian constraint becomes a parabolic one and we arrive to a Schroedinger-like approach for the quantum dynamics. In the semiclassical limit our theory provides General Relativity in the presence of an additional energy-momentum density contribution coming from no longer zero eigenvalues of the Hamiltonian constraints; the interpretation of these new contributions comes out in natural way as soon as it is recognized that the kinematical action can be recasted in such a way it describes a pressureless, but, in general, non geodesic perfect fluid.
Mercuri Simone
Montani Giovanni
No associations
LandOfFree
Revised Canonical Quantum Gravity via the Frame Fixing does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Revised Canonical Quantum Gravity via the Frame Fixing, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Revised Canonical Quantum Gravity via the Frame Fixing will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-527518