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Cited by 391

The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.

Quantum cosmology and the initial state of the Universe

Vilenkin, Alexander·1988·Physical Review D
DOI 10.1103/physrevd.37.888
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Abstract

Cosmological wave functions are found in a minisuperspace model (1) with ``tunneling'' and (2) with Hartle-Hawking boundary conditions. The probability distributions for the initial states of the Universe corresponding to the two wave functions are calculated and compared. It is shown that the tunneling wave function predicts initial states that lead to inflation, while the Hartle-Hawking wave function does not. Small perturbations about the minisuperspace model are considered and it is argued that both wave functions predict that the Universe nucleates with quantum fields in de Sitter-invariant vacuum states.

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Registry

Crossref · 10.1103/physrevd.37.888

Cites

4 of 4 references verified0 citation errors · 0 not checkable

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  • The tunneling wave function predicts nucleation with φ near the maximum of V(φ), which is the right initial condition for inflation.

    “The wave function then predicts the nucleation with ϕ near the maximum of V (ϕ), which is just the right initial condition for inflation [10,11].”

    From On Quantum Creation of a Toroidal Universe (2026) · cites this paper as [11]

Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 26

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  5. 1986, Particles and the Universe
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Metadata

Authors
Vilenkin, A.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1988-02-15
Volume
37
Issue
4
Pages
888-897
ISSN
0556-2821
DOI
10.1103/physrevd.37.888
Cited by
391
References
4
Language
en
Licence
link.aps.org/licenses/aps-default-license (vor)

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