Orbifolds, Quantum Cosmology, and Nontrivial Topology

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Contribution to the XXVII National Meeting on the Physics of Particles and Fields (Aguas de Lindoia, Brazil, Sep. 2006). Revis

Scientific paper

In order to include nontrivial spatial topologies in the problem of quantum creation of a universe, it seems to be necessary to generalize the sum over compact, smooth 4-manifolds to a sum over finite-volume, compact 4-orbifolds. We consider in detail the case of a 4-spherical orbifold with a cone-point singularity. This allows for the inclusion of a nontrivial topology in the semiclassical path integral approach to quantum cosmology, in the context of a Robertson-Walker minisuperspace.

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