The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Classical and quantum cosmology of the Starobinsky inflationary model
Abstract
Starobinsky has suggested an inflationary cosmological scenario in which the inflation is driven by quantum corrections to the vacuum Einstein's equations. Here a detailed review of the Starobinsky scenario is given and an observational constraint on the parameters of the model is derived. The quantum mechanics of the model is studied first using the instanton method, and then by solving the corresponding Wheeler-DeWitt equation. A cosmological wave function is obtained describing a universe tunneling from ``nothing'' to the Starobinsky inflationary phase. The curvature fluctuations in the tunneling universe are calculated. This quantum analysis determines the initial conditions for the classical evolution of the model.
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Citations
Cites
Inflationary universe: A possible solution to the horizon and flatness problems
Guth, A. H. (1981) · Physical Review D · doi:10.1103/physrevd.23.347 · Cited by 9,983
Quantum Fields in Curved Space
Birrell, N. D., & Davies, P. C. W. (1982) · doi:10.1017/cbo9780511622632 · Cited by 8,354
A new type of isotropic cosmological models without singularity
Starobinsky, A. A. (1980) · Physics Letters B · doi:10.1016/0370-2693(80)90670-x · Cited by 7,677
Hartle, J. B., & Hawking, S. W. (1983) · Physical Review D · doi:10.1103/physrevd.28.2960 · Cited by 3,027
Birth of inflationary universes
Vilenkin, A. (1983) · Physical Review D · doi:10.1103/physrevd.27.2848 · Cited by 998
Self-citationCreation of universes from nothing
Vilenkin, A. (1982) · Physics Letters B · doi:10.1016/0370-2693(82)90866-8 · Cited by 841
Self-citationVilenkin, A. (1984) · Physical Review D · doi:10.1103/physrevd.30.509 · Cited by 592
Self-citation
Cited by
Theory of cosmological perturbations
Mukhanov, V (1992) · Physics Reports · doi:10.1016/0370-1573(92)90044-z · Cited by 3,608
Planck 2013 results. XXII. Constraints on inflation
Planck Collaboration, Ade, P. A. R., Aghanim, N., Armitage-Caplan, C., Arnaud, M., Ashdown, M., Atrio-Barandela, F., Aumont, J., Baccigalupi, C., Banday, A. J., et al. (2014) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201321569 · Cited by 1,082
Boundary conditions in quantum cosmology
Vilenkin, A. (1986) · Physical Review D · doi:10.1103/physrevd.33.3560 · Cited by 428
Self-citationQuantum cosmology and the initial state of the Universe
Vilenkin, A. (1988) · Physical Review D · doi:10.1103/physrevd.37.888 · Cited by 391
Self-citationCosmological inflation inF(R,G)gravity
De Laurentis, M., Paolella, M., & Capozziello, S. (2015) · Physical Review D · doi:10.1103/physrevd.91.083531 · Cited by 274
Metadata
- Authors
- Vilenkin, A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1985-11-15
- Volume
- 32
- Issue
- 10
- Pages
- 2511-2521
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2025203454
- Cited by
- 474
- References
- 7
- FWCI
- 7.72
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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