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A simplified structure for second order cosmological perturbation equations
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering. (Fysik)
University of Waterloo.
2013 (English)In: General Relativity and Gravitation, ISSN 0001-7701, E-ISSN 1572-9532, Vol. 45, no 3, 643-674 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Berlin: Springer , 2013. Vol. 45, no 3, 643-674 p.
Keyword [en]
Second order cosmological perturbations, Poisson gauge, Uniform curvature gauge
National Category
Astronomy, Astrophysics and Cosmology
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-15616DOI: 10.1007/s10714-012-1492-7ISI: 000314885500006OAI: oai:DiVA.org:kau-15616DiVA: diva2:567858
Available from: 2012-11-14 Created: 2012-11-14 Last updated: 2016-08-10Bibliographically approved

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