Quantum Cosmology and Open Universes

Details Quantum Cosmology and Open Universes Quantum Cosmology and Open Universes

1999-05-17

arxiv.org/abs/gr-qc/9905056v2

Phys.Rev. D61 (2000) 063501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, Revtex, 7 figures. Accepted for publication in PRD. New material and important corrections added in response to refe

Scientific paper

10.1103/PhysRevD.61.063501

Quantum creation of Universes with compact spacelike sections that have curvature $k$ either closed, flat or open, i.e. $k=\pm1,0$ are studied. In the flat and open cases, the superpotential of the Wheeler De Witt equation is significantly modified, and as a result the qualitative behaviour of a typical wavefunction differs from the traditional closed case. Using regularity arguments, it is shown that the only consistent state for the wavefunction is the Tunneling one. By computing the quantum probabilities for the curvature of the sections, it is shown that quantum cosmology actually favours that the Universe be open, $k=-1$. In all cases sufficient inflation $\sim 60$ e-foldings is predicted: this is an improvement over classical measures that generally are ambiguous as to whether inflation is certain to occur.

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