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Title: Action approach to cosmological perturbations: the second-order metric in matter dominance

Abstract

We study nonlinear cosmological perturbations during post-inflationary evolution, using the equivalence between a perfect barotropic fluid and a derivatively coupled scalar field with Lagrangian [-({partial_derivative}{phi}){sup 2}]{sup (1+w)/2w}. Since this Lagrangian is just a special case of k-inflation, this approach is analogous to the one employed in the study of non-Gaussianities from inflation. We use this method to derive the second-order metric during matter dominance in the comoving gauge directly as a function of the primordial inflationary perturbation {zeta}. Going to Poisson gauge, we recover the metric previously derived in the literature.

Authors:
; ;  [1];  [2]
  1. Abdus Salam ICTP, Strada Costiera 11, I-34014 Trieste (Italy)
  2. SISSA/ISAS, Via Beirut 2, I-34014 Trieste (Italy)
Publication Date:
OSTI Identifier:
22156720
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2008; Journal Issue: 08; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGY; DISTURBANCES; GALACTIC EVOLUTION; INFLATIONARY UNIVERSE; LAGRANGIAN FUNCTION; METRICS; NONLINEAR PROBLEMS; SCALAR FIELDS

Citation Formats

Boubekeur, Lotfi, Creminelli, Paolo, Vernizzi, Filippo, and Norena, Jorge. Action approach to cosmological perturbations: the second-order metric in matter dominance. United States: N. p., 2008. Web. doi:10.1088/1475-7516/2008/08/028.
Boubekeur, Lotfi, Creminelli, Paolo, Vernizzi, Filippo, & Norena, Jorge. Action approach to cosmological perturbations: the second-order metric in matter dominance. United States. https://doi.org/10.1088/1475-7516/2008/08/028
Boubekeur, Lotfi, Creminelli, Paolo, Vernizzi, Filippo, and Norena, Jorge. 2008. "Action approach to cosmological perturbations: the second-order metric in matter dominance". United States. https://doi.org/10.1088/1475-7516/2008/08/028.
@article{osti_22156720,
title = {Action approach to cosmological perturbations: the second-order metric in matter dominance},
author = {Boubekeur, Lotfi and Creminelli, Paolo and Vernizzi, Filippo and Norena, Jorge},
abstractNote = {We study nonlinear cosmological perturbations during post-inflationary evolution, using the equivalence between a perfect barotropic fluid and a derivatively coupled scalar field with Lagrangian [-({partial_derivative}{phi}){sup 2}]{sup (1+w)/2w}. Since this Lagrangian is just a special case of k-inflation, this approach is analogous to the one employed in the study of non-Gaussianities from inflation. We use this method to derive the second-order metric during matter dominance in the comoving gauge directly as a function of the primordial inflationary perturbation {zeta}. Going to Poisson gauge, we recover the metric previously derived in the literature.},
doi = {10.1088/1475-7516/2008/08/028},
url = {https://www.osti.gov/biblio/22156720}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 08,
volume = 2008,
place = {United States},
year = {Fri Aug 15 00:00:00 EDT 2008},
month = {Fri Aug 15 00:00:00 EDT 2008}
}