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Cosmological perturbation theory revisited
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering. (Fysik)
2011 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 28, no 17, 175017-175043 p.Article in journal (Refereed) Published
Abstract [en]

Increasingly accurate observations are driving theoretical cosmology towards the use of more sophisticated descriptions of matter and the study of nonlinear perturbations of Friedmann–Lemaitre cosmologies, whose governing equations are notoriously complicated. Our goal in this paper is to formulate the governing equations for linear perturbation theory in a particularly simple and concise form in order to facilitate the extension to nonlinear perturbations. Our approach has several novel features. We show that the use of so-called intrinsic gauge invariants has two advantages. It naturally leads to (i) a physically motivated choice of a gauge invariant associated with the matter density, and (ii) two distinct and complementary ways of formulating the evolution equations for scalar perturbations, associated with the work of Bardeen and of Kodama and Sasaki. In the first case, the perturbed Einstein tensor gives rise to a second-order (in time) linear differential operator, and in the second case to a pair of coupled first-order (in time) linear differential operators. These operators are of fundamental importance in cosmological perturbation theory, since they provide the leading order terms in the governing equations for nonlinear perturbations

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2011. Vol. 28, no 17, 175017-175043 p.
Keyword [en]
Gravitation and cosmology, Astrophysics and astroparticles
National Category
Astronomy, Astrophysics and Cosmology
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-15611DOI: 10.1088/0264-9381/28/17/175017ISI: 000294011800018OAI: oai:DiVA.org:kau-15611DiVA: diva2:567842
Funder
Swedish Research Council, 621-2009-4163
Available from: 2012-11-14 Created: 2012-11-14 Last updated: 2012-11-15Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
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