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Dynamics of cosmological perturbations at first and second order
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, Dept Appl Math, Waterloo, Canada.
2018 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 98, no 10, article id 103534Article in journal (Refereed) Published
Abstract [en]

In this paper we give five gauge-invariant systems of governing equations for first and second order scalar perturbations of flat Friedmann-Lemaitre universes that are minimal in the sense that they contain no redundant equations or variables. We normalize the variables so that they are dimensionless, which leads to systems of equations that are simple and ready-to-use. We compare the properties and utility of the different systems. For example, they serve as a starting point for finding explicit solutions for two benchmark problems in cosmological perturbation theory at second order: adiabatic perturbations in the superhorizon regime (the long wavelength limit) and perturbations of ACDM universes. However, our framework has much wider applicability and serves as a reference for future work in the field.

Place, publisher, year, edition, pages
American Physical Society, 2018. Vol. 98, no 10, article id 103534
National Category
Astronomy, Astrophysics and Cosmology
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-70558DOI: 10.1103/PhysRevD.98.103534ISI: 000451995400002OAI: oai:DiVA.org:kau-70558DiVA, id: diva2:1273049
Available from: 2018-12-20 Created: 2018-12-20 Last updated: 2019-01-16Bibliographically approved

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Uggla, Claes

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