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Perturbations of the Lambda-CDM model in a dynamical systems perspective
Univ Lisbon, Portugal..
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Engineering and Physics (from 2013).ORCID iD: 0000-0002-0906-8808
Univ Waterloo, Canada..
2019 (English)In: Journal of Cosmology and Astroparticle Physics, ISSN 1475-7516, E-ISSN 1475-7516, no 9, article id 045Article in journal (Refereed) Published
Abstract [en]

The observational success and simplicity of the ACDM model, and the explicit analytic perturbations thereof, set the standard for any alternative cosmology. It therefore serves as a comparison ground and as a test case for methods which can be extended and applied to other cosmological models. In this paper we introduce dynamical systems and methods to describe linear scalar and tensor perturbations of the ACDM model, which serve as pedagogical examples that show the global illustrative powers of dynamical systems in the context of cosmological perturbations. We also study the asymptotic properties of the shear and Weyl tensors and discuss the validity of the perturbations as approximations to the Einstein field equations. Furthermore, we give a new approximation for the linear growth 5 rate, f (z) = d ln delta/d ln a = Omega(6/11)(m) - 1/70(1-Omega(m))(5/2), where z is the cosmological redshift, Omega(m) = Omega(m)(z), while a is the background scale factor, and show that it is much more accurate than the previous ones in the literature.

Place, publisher, year, edition, pages
Bristol, UK: IOP PUBLISHING LTD , 2019. no 9, article id 045
Keywords [en]
cosmological perturbation theory, dark energy theory
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-75203DOI: 10.1088/1475-7516/2019/09/045ISI: 000487557600001OAI: oai:DiVA.org:kau-75203DiVA, id: diva2:1359826
Available from: 2019-10-10 Created: 2019-10-10 Last updated: 2019-10-25Bibliographically approved

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Uggla, Claes

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