2011/01/31 by Jinn-Ouk Gong, Takahiro Tanaka · 106 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical field theory #Classical mechanics #Classical unified field theories #Cosmological perturbation theory #Cosmology and Gravitation Theories #Covariant transformation #Curvature #Curved space #Effective action #Einstein field equations #Einstein tensor #Field (mathematics) #Field equation #Formalism (music) #Galaxies: Formation, Evolution, Phenomena #General relativity #Geometry #Inflation (cosmology) #Mathematical physics #Mathematics #Physics #Riemann curvature tensor #Space (punctuation) #Theoretical physics #astro-ph.CO #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1088/1475-7516/2011/03/015
published in Journal of Cosmology and Astroparticle Physics 2011(03), 015 (Institute of Physics) · (v1) 18 pages, 1 figure; (v2) references added, typos corrected, to appear in Journal of Cosmology and Astroparticle Physics; (v3) typos in (54), (62) and (64) corrected
openalex publication_date 2011/03/07 · arxiv created 2012/01/14 · arxiv updated 2012/01/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/08
We present a covariant formalism for general multi-field system which enables us to obtain higher order action of cosmological perturbations easily and systematically. The effects of the field space geometry, described by the Riemann curvature tensor of the field space, are naturally incorporated. We explicitly calculate up to the cubic order action which is necessary to estimate non-Gaussianity and present those geometric terms which have not yet been known before.