Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1992-10-30
Class.Quant.Grav.10:1435-1446,1993
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages
Scientific paper
10.1088/0264-9381/10/8/006
The phenomenon of linearisation instability is identified in models of quantum cosmology that are perturbations of mini-superspace models. In particular, constraints that are second order in the perturbations must be imposed on wave functions calculated in such models. It is shown explicitly that in the case of a model which is a perturbation of the mini-superspace which has $S^3$ spatial sections these constraints imply that any wave functions calculated in this model must be SO(4) invariant. (This replaces the previous corrupted version.)
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