2013/04/20 by Anatoliy Malyarenko
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Cosmological model #Cosmology and Gravitation Theories #Ekpyrotic universe #Invariant (physics) #Metric expansion of space #Observable #Scalar (mathematics) #Scalar field #Spectrum (functional analysis) #Stochastic processes and financial applications #Universe #advanced mathematical theories #math.PR #msc:60G60
paper · pdf · doi:10.17265/2328-224x/2015.1112.001
published in Journal of Statistical Science and Application 3(6) · 24 pages, no figures
arxiv created 2013/04/20 · openalex publication_date 2015/12/28 · arxiv updated 2016/03/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We give a review of the theory of random fields defined on the observable part of the Universe that satisfy the cosmological principle, i.e., invariant with respect to the 6-dimensional group of the isometries of the timeslice of the Friedmann-Lematre-Robertson-Walker standard chart. Our new results include proof of spectral expansions of scalar and spin weighted -invariant cosmological fields in open, flat, and closed cosmological models.