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3+1 Approach to Cosmological Perturbations: Deriving the First Order Scalar Perturbations of the Einstein Field Equations
Karlstad University, Faculty of Health, Science and Technology (starting 2013).
2016 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesisAlternative title
Kosmologisk störningsräkning utifrån 3+1 formalismen : Härledning av första ordningens skalära störningar av Einsteins fältekvationer (Swedish)
Abstract [en]

Experimental data suggest that the universe is homogeneous and isotropic on sufficiently large scales. An exact solution of the Einstein field equations exists for a homogeneous and isotropic universe, also known as a Friedmann-Lemaître-Robertson-Walker (FLRW) universe. However, this model is only a first approximation since we know that, locally, the universe has anisotropic and inhomogeneous structures such as galaxies and clusters of galaxies. In order to successfully introduce inhomogeneities and anisotropies to the model one uses perturbative methods. In cosmological perturbations the FLRW universe is considered the zeroth order term in a perturbation expansion and perturbation theory is used to derive higher order terms which one tries to match with observations. In this thesis I present a review of the main concepts of general relativity, discuss the 3+1 formalism which gives us the Einstein field equations in a useful form for the perturbative analysis, and lastly, I derive the first order scalar perturbations of the Einstein field equations.

Place, publisher, year, edition, pages
2016. , 57 p.
Keyword [en]
physics, astronomy, theoretical physics, perturbation, cosmology, cosmological perturbations, 3+1 formalism, first order perturbation, perturbation theory, universe
Keyword [sv]
fysik, astronomi, teoretisk fysik, störning, störningsräkning, kosmologi, kosmologiska störningar, kosmologisk störningsräkning, 3+1 formalismen, första ordningens störningar, störningsteori, universum
National Category
Astronomy, Astrophysics and Cosmology
URN: urn:nbn:se:kau:diva-43257OAI: diva2:937903
Subject / course
Educational program
Bachelor Programme in Physics , 180 hp
2016-06-10, 21D302, Kronoparken, 10:47 (English)
Available from: 2016-06-17 Created: 2016-06-16 Last updated: 2016-06-17Bibliographically approved

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Faculty of Health, Science and Technology (starting 2013)
Astronomy, Astrophysics and Cosmology

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