2012/03/31 by Claes Uggla, John Wainwright
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmic microwave background #Cosmological perturbation theory #Cosmology and Gravitation Theories #Curvature #Differential geometry #Gauge (firearms) #Noncommutative and Quantum Gravity Theories #Nonlinear system #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Uniqueness #astro-ph.CO #gr-qc
paper · pdf · doi:10.1007/s10714-012-1492-7
published as Gen. Rel. Grav. 45 (2013) 643-674 · 30 pages, no figures. Changed title to the one in published version and some minor changes and additions
openalex publication_date 2012/12/14 · arxiv created 2013/02/24 · arxiv updated 2015/06/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Increasingly accurate observations of the cosmic microwave background and the large scale distribution of galaxies necessitate the study of nonlinear perturbations of Friedmann-Lemaitre cosmologies, whose equations are notoriously complicated. In this paper we present a new derivation of the governing equations for second order perturbations within the framework of the metric-based approach that is minimal, as regards amount of calculation and length of expressions, and flexible, as regards choice of gauge and stress-energy tensor. Because of their generality and the simplicity of their structure our equations provide a convenient starting point for determining the behaviour of nonlinear perturbations of FL cosmologies with any given stress-energy content, using either the Poisson gauge or the uniform curvature gauge.