Topology Change in Canonical Quantum Cosmology

Details Topology Change in Canonical Quantum Cosmology Topology Change in Canonical Quantum Cosmology

1997-01-12

arxiv.org/abs/gr-qc/9701024v2

Phys.Rev. D56 (1997) 3329-3340

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, LaTex file. We added in the conclusion some comments about path integral formalism and corrected litle misprintings

Scientific paper

10.1103/PhysRevD.56.3329

We develop the canonical quantization of a midisuperspace model which contains, as a subspace, a minisuperspace constituted of a Friedman-Lema\^{\i}tre-Robertson-Walker Universe filled with homogeneous scalar and dust fields, where the sign of the intrinsic curvature of the spacelike hypersurfaces of homogeneity is not specified, allowing the study of topology change in these hypersurfaces. We solve the Wheeler-DeWitt equation of the midisuperspace model restricted to this minisuperspace subspace in the semi-classical approximation. Adopting the conditional probability interpretation, we find that some of the solutions present change of topology of the homogeneous hypersurfaces. However, this result depends crucially on the interpretation we adopt: using the usual probabilistic interpretation, we find selection rules which forbid some of these topology changes.

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