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On the asymptotics of models for a spatially homogeneous and isotropic spacetime
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2012 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

In this thesis, we present an analysis of two cosmological models.

We begin by determining the asymptotics for solutions to Einstein's equation in

an isotropic, homogeneous and at spacetime under weak assumptions on the

behaviour of matter. Then, we examine how two dierent matter models aect

the asymptotics. One matter model considers dust and radiation as perfect

uids, and the other involves Vlasov matter. Finally, we consider the dierences

and similarities of the resulting asymptotics.

We conclude by discussing some physical consequences of the results.

The thesis also contains supplementary chapters for readers not familiar working

with asymptotics of solutions to ordinary dierential equations.

Place, publisher, year, edition, pages
2012. , 65 p.
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-103733OAI: diva2:561554
Available from: 2013-01-07 Created: 2012-10-19 Last updated: 2013-01-07Bibliographically approved

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