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Quantum Cosmology and Open Universes

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arxiv gr-qc/9905056 v2 pith:4VUG6RHY submitted 1999-05-17 gr-qc astro-ph

Quantum Cosmology and Open Universes

classification gr-qc astro-ph
keywords openquantumcasesclosedcosmologycurvatureflatinflation
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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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Cited by 1 Pith paper

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  1. Inflation, Open Universes, and Dark Energy

    astro-ph.CO 2026-07 conditional novelty 5.0

    A slightly open universe with Ω_k ≈ 3×10^{-3} pulls n_s down to ~0.969, reconciling plateau inflation models with combined CMB and DESI data.