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Simple expressions for second order density perturbations in standard cosmology
Karlstad University, Faculty of Technology and Science. Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Engineering and Physics. (Fysik)ORCID iD: 0000-0002-0906-8808
University of Waterloo.
2014 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 31, no 10, 105008- p.Article in journal (Refereed) Published
Abstract [en]

In this paper we present four simple expressions for the relativistic first and second order fractional density perturbations for ΛCDM cosmologies in different gauges: the Poisson, uniform curvature, total matter and synchronous gauges. A distinctive feature of our approach is the use of a canonical set of quadratic differential expressions involving an arbitrary spatial function, the so-called comoving curvature perturbation, to describe the spatial dependence, which enables us to unify, simplify and extend previous seemingly disparate results. The simple structure of the expressions makes the evolution of the density perturbations completely transparent and clearly displays the effect of the cosmological constant on the dynamics, namely that it stabilizes the perturbations. We expect that the results will be useful in applications, for example, studying the effects of primordial non-Gaussianity on the large scale structure of the universe.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2014. Vol. 31, no 10, 105008- p.
Keyword [en]
Cosmology
National Category
Physical Sciences Astronomy, Astrophysics and Cosmology
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-33953DOI: 10.1088/0264-9381/31/10/105008ISI: 000336092700009OAI: oai:DiVA.org:kau-33953DiVA: diva2:752180
Available from: 2014-10-02 Created: 2014-10-02 Last updated: 2015-07-08Bibliographically approved

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Uggla, Claes
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Faculty of Technology and ScienceDepartment of Engineering and Physics
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