First-order phase transition of a vacuum and the expansion of the Universe
Open accessAbstract
The progress of a first-order phase transition of a vacuum in the expanding Universe is investigated. The expansion of bubbles of a stable vacuum is calculated simultaneously with the cosmic expansion with the aid of the following two simplified nucleation rates of bubbles p: (i) p = pT Tcδ (T−Tc) in the hot Universe models, (ii) p = 0 for n > nc and p = pQ for n < nc in the cold Universe models, where T is the cosmic temperature, Tc the critical temperature, n the cosmic number density of the fermions coupled to the order parameter of the vacuum, nc the critical density, and pT and pQ are parameters. The following results are obtained: (1) If the nucleation rates are small and the vacuum stays at the metastable state for a long time, the Universe begins to expand exponentially. As a result, the progress of the phase transition is delayed more and more by the rapid cosmic expansion. In particular, in model (i), if pT is less than a critical value, the phase transition never finishes. (2) The lower limits of the nucleation parameter pT and pQ are obtained from observation of the number ratio of photons to baryons in the present Universe. (3) If the phase transition of the vacuum in SU(5) GUT is of first order or if there exists a hypothetical first-order phase transition of the vacuum in the very early stage in which baryon number is not conserved, the density and the velocity fluctuations created by the phase transition may account for the origin of galaxies.
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Our universe, created by a single inflation event, likely includes more than 10^100 Sun-like stars.
“However, our universe, created by a single inflation event, likely includes more than 10100 Sun-like stars.”
From Emergence of life in an inflationary universe (2020) · cites this paper as [38]
The results summary (p. 1) discusses exponential expansion under certain phase-transition conditions, and the conclusion (p. 12) discusses a possible origin of galaxies. Neither addresses a universe created by a single inflation event or estimates its number of Sun-like stars; searches for those terms and 10^100 found no supporting passage. (LLM, conf=0.74)
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LRS Bianchi type I models with anisotropic dark energy and constant deceleration parameter
Akarsu, Ö., & Kılınç, C. B. (2009) · General Relativity and Gravitation · doi:10.1007/s10714-009-0821-y · Cited by 188 · see citing works
Trans-Planckian issues for inflationary cosmology
Brandenberger, R., & Martin, J. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/11/113001 · Cited by 186 · see citing works
Probing the reheating temperature of the universe with a gravitational wave background
Nakayama, K., Saito, S., Suwa, Y., & Yokoyama, J. (2008) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2008/06/020 · Cited by 185 · see citing works
Quantum diffusion during inflation and primordial black holes
Pattison, C., Vennin, V., Assadullahi, H., & Wands, D. (2017) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2017/10/046 · Cited by 196 · see citing works
Inflation in $$f(R,\phi )$$ f ( R , ϕ ) -theories and mimetic gravity scenario
Myrzakulov, R., Sebastiani, L., & Vagnozzi, S. (2015) · The European Physical Journal C · doi:10.1140/epjc/s10052-015-3672-6 · Cited by 184 · see citing works
The importance of being warm (during inflation)
Bartrum, S., Mar Bastero-gil, A., Berera, A., Cerezo, R., Ramos, R. O., & Rosa, J. G. (2014) · Physics Letters B · doi:10.1016/j.physletb.2014.03.029 · Cited by 179 · see citing works
Yokoyama, J., & Linde, A. D. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.60.083509 · Cited by 174 · see citing works
Induced gravitational waves in a general cosmological background
Domènech, G. (2020) · International Journal of Modern Physics D · doi:10.1142/s0218271820500285 · Cited by 174 · see citing works
Induced gravitational waves as a probe of thermal history of the universe
Domènech, G., Pi, S., & Sasaki, M. (2020) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2020/08/017 · Cited by 178 · see citing works
Seery, D., Lidsey, J. E., & Sloth, M. S. (2007) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2007/01/027 · Cited by 170 · see citing works
“onsistency condition to the trispectrum. Keywords: Inflation, Cosmological perturbation theory, Physics of the early universe. The inflationary trispectrum 2 1. Introduction In the inflationary scenario [1, 2, 3, 4, 5, 6, 7], the primordial curvature perturbation, ζ, is generated via the vacuum fluctuations of one or more…”
Cosmic no-hair theorem in homogeneous spacetimes. I. Bianchi models
Kitada, Y., & Maeda, K. (1993) · Classical and Quantum Gravity · doi:10.1088/0264-9381/10/4/008 · Cited by 170 · see citing works
Wang, S., Terada, T., & Kohri, K. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.99.103531 · Cited by 168 · see citing works
Inflationary non-Gaussianities in the most general second-order scalar-tensor theories
Felice, A. D., & Tsujikawa, S. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.84.083504 · Cited by 165 · see citing works
Cosmological perturbations from multi-field inflation in generalized Einstein theories
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Dark energy: a quantum fossil from the inflationary universe?
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Planck constraints on the tensor-to-scalar ratio
Tristram, M., Banday, A. J., Gorski, K. M., Keskitalo, R., Lawrence, C. R., Andersen, K. J., Barreiro, R. B., Borrill, J., Eriksen, H. K., Fernández-Cobos, R., et al. (2021) · Astronomy and Astrophysics · doi:10.1051/0004-6361/202039585 · Cited by 164 · see citing works
“…introduced about 40 years ago to solve inherent problems with the canonical hot bigbang model (Brout et al. 1978; Starobinsky 1980; Kazanas 1980; Sato 1981; Guth 1981; Linde 1982, 1983; Albrecht & Steinhardt 1982), attention quickly focused on using it as a means to generate cosmological…”
BackgroundNew physics from the polarized light of the cosmic microwave background
Komatsu, E. (2022) · Nature Reviews Physics · doi:10.1038/s42254-022-00452-4 · Cited by 164 · see citing works
Nearly Starobinsky inflation from modified gravity
Sebastiani, L., Cognola, G., Myrzakulov, R., Odintsov, S. D., & Zerbini, S. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.89.023518 · Cited by 163 · see citing works
Generic instabilities of nonsingular cosmologies in Horndeski theory: A no-go theorem
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Kamada, K., Kobayashi, T., Yamaguchi, M., & Yokoyama, J. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.83.083515 · Cited by 162 · see citing works
Non-Gaussianities and the stimulated creation of quanta in the inflationary universe
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Three-dimensional classical spacetimes
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Breakdown of semiclassical methods in de Sitter space
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- Authors
- Sato, K.
- Affiliations
- Kyoto University (JP)
- Corresponding author
- Sato, K.
- ORCID
- Sato, K.
- Venue
- Monthly Notices of the Royal Astronomical Society
- Publisher
- Oxford University Press (OUP)
- Published
- 1981-07-01
- Volume
- 195
- Issue
- 3
- Pages
- 467-479
- ISSN
- 0035-8711 (ISSN-L)
- 1365-2966
- OpenAlex
- W2118084428
- Semantic Scholar
- 4996c653cfb125af342b7f3f7a40e15311999ba7
- Cited by
- 1,792
- References
- 0
- Citations by year
- 2026: 57 · 2025: 101 · 2024: 102 · 2023: 91 · 2022: 110 · 2021: 95 · 2020: 91 · 2019: 114 · 2018: 94 · 2017: 86 · 2016: 92 · 2015: 94 · 2014: 93 · 2013: 53 · 2012: 46
- FWCI
- 12.39
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Monthly Notices of the Royal Astronomical Society (publishedVersion)
- HighWire Press Open Archive (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Dark Matter and Cosmic Phenomena
- Keywords
- first-order phase transition, vacuum phase transition, bubble nucleation, cosmic expansion, metastable vacuum, nucleation rate, critical temperature, SU(5) grand unification, baryon number violation, density fluctuations, galaxy formation, early universe
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