Conservation of second-order cosmological perturbations in a scalar field dominated universe
Open accessAbstract
We discuss second-order cosmological perturbations on super-Hubble scales, in a scalar field dominated universe, such as during single field inflation. In this contest we show that the gauge-invariant curvature perturbations defined on uniform density and comoving hypersurfaces coincide and that perturbations are adiabatic in the large scale limit. Since it has been recently shown that the uniform density curvature perturbation is conserved on large scales if perturbations are adiabatic, we conclude that both the uniform density and comoving curvature perturbations at second order, in a scalar field dominated universe, are conserved. Finally, in the light of this result, we comment on the variables recently used in the literature to compute non-Gaussianities.
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The second term in Eq. (26) is momentum independent and local in real space, because it is due to the evolution of nonlinearities outside the Hubble radius during inflation.
“is momentum independent and local in real space, because it is due to the evolution of nonlinearities outside the Hubble radius during inflation.”
From Non-Gaussianities in two-field inflation (2006) · cites this paper as [20]
In the discussion following Eq. (6), the paper says that, for single-field inflation, non-Gaussianities in the conserved comoving curvature perturbation can only be generated inside the Hubble radius and are conserved outside it. This is contrary to the claim's explanation that the term arises from evolving nonlinearities outside the Hubble radius. The paper also does not identify a momentum-independent, real-space-local second term. (LLM, conf=0.86)
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Experimental — accuracy not yet measuredThe δN-formalism is equivalent to integrating the evolution of ζ on super-Hubble scales from Hubble exit until tc.
“In particular, the δN -formalism is equivalent to integrate the evolution of ζ on super-Hubble scales from Hubble exit until t c .”
From Non-Gaussianities in two-field inflation (2006) · cites this paper as [20]
The paper’s discussion of Eqs. (19), (23), and (32) addresses the evolution and conservation of ζ on super-Hubble scales. It does not state that the δN formalism is equivalent to integrating that evolution from Hubble exit to tc. (LLM, conf=0.80)
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Research works printed but not linked: 18
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Cited by
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Non-Gaussianities in two-field inflation
Vernizzi, F., & Wands, D. (2006) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2006/05/019 · Cited by 274 · see citing works
Self-citation
- Authors
- Vernizzi, F.
- Affiliations
- University of Helsinki (FI)
- Corresponding author
- Vernizzi, Filippo
- ORCID
- Vernizzi, Filippo
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2005-03-22
- Volume
- 71
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2037104622
- Cited by
- 57
- References
- 0
- Citations by year
- 2024: 1 · 2021: 2 · 2020: 1 · 2019: 2 · 2018: 2 · 2017: 1 · 2016: 2 · 2015: 5 · 2013: 3 · 2012: 1
- FWCI
- 5.04
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
- Keywords
- super-Hubble scales, single-field inflation, curvature perturbations, gauge-invariant perturbations, adiabatic perturbations, non-Gaussianity
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