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Simple cosmological models and their descriptions of the universe
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics.
2018 (English)Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesis
Abstract [en]

Cosmology is the study of the universe as a whole, and attempts to describe the behaviour of the universe mathematically. The simplest relativistic cosmological models are derived from Einstein's field equations with the assumptions of isotropy and homogeneity. In this thesis, a few simple cosmological models will be derived and evaluated with respect to their description of our universe i.e., how well they match observational data from e.g., the cosmic background radiation and redshift from distant supernovae. The models are derived from Einstein's field equations, which is why a large portion of the thesis will lay the ground work for the field equations by introducing and explaining the language of tensors. 

Abstract [sv]

Kosmologi är läran om universum i stort samt dess matematiska beskrivning. De enklaste relativistiska kosmologiska modellerna kan härledas från Einsteins fältekvationer med hjälp av antaganden om isotropi och homogenitet. I denna rapport kommer ett par av de enklaste modellerna att härledas, samt evalueras baserat på hur väl de beskriver vårt universum, det vill säga hur bra de passar de observationer som gjorts på exempelvis den kosmiska bakgrundsstrålningen och rödskifte från avlägsna supernovor. Modellerna härleds utifrån Einsteins fältekvationer, varför en stor del av rapporten består av en introduktion till tensoranalys.

Place, publisher, year, edition, pages
2018. , p. 49
Keywords [en]
Tensors, General relativity, Einstein's field equations, Cosmology, Friedmann's equation, FLRW-spacetimes
Keywords [sv]
Tensorer, Allmän relativitetsteori, Einsteins fältekvationer, Kosmologi, Friedmanns ekvation, FLRW-rumtider
National Category
Astronomy, Astrophysics and Cosmology Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-153329ISRN: LiTH-MAT-EX--2018/11--SEOAI: oai:DiVA.org:liu-153329DiVA, id: diva2:1270697
Subject / course
Mathematics
Supervisors
Examiners
Available from: 2019-01-24 Created: 2018-12-14 Last updated: 2019-01-24Bibliographically approved

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf