Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-03-02
Phys.Lett. B324 (1994) 134-140
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17p, Lanc-Th-G9401
Scientific paper
10.1016/0370-2693(94)90399-9
The question of the interpretation of Wheeler-DeWitt solutions in the context of cosmological models is addressed by implementing the Hamiltonian constraint as a spinor wave equation in minisuperspace. We offer a relative probability interpretation based on a non-closed vector current in this space and a prescription for a parametrisation of classical solutions in terms of classical time. Such a prescription can accommodate classically degenerate metrics describing manifolds with signature change. The relative probability density, defined in terms of a Killing vector of the Dewitt metric on minisuperspace, should permit one to identify classical loci corresponding to geometries for a classical manifold. This interpretation is illustrated in the context of a quantum cosmology model for two-dimensional dilaton gravity.
Dereli Tekin
Onder Mehmet
Tucker Robin W.
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