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Non-isotropic Cosmology in 1+3-formalism
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
2014 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

Cosmology is an attempt to mathematically describe the behaviour of the universe, the most commonly used models are the Friedmann-Lemaître-Robertson-Walker solutions. These models seem to be accurate for an old universe, which is homogeneous with low anisotropy. However for an earlier universe these models might not be that accurate or even correct. The almost non-existent anisotropy observed today might have played a bigger role in the earlier universe. For this reason we will study another model known as Bianchi Type I, where the universe is not necessarily isotropic. We utilize a 1+3-covariant formalism to obtain the equations that determine the behaviour of the universe and then use a tetrad formalism to complement the 1+3-covariant equations. Using these equations we examine the geometry of space-time and its dynamical properties. Finally we briefly discuss the different singularities possible and examine some special cases of geodesic movement.

Place, publisher, year, edition, pages
2014. , 83 p.
, LiTH-MAT-EX, 2014:07
Keyword [en]
Non-isotropic cosmology, Einstein, Relativity, Bianchi Type I, 1+3-covariant formalism
National Category
URN: urn:nbn:se:liu:diva-113269ISRN: LiTH-MAT-EX--2014/07--SEOAI: diva2:780201
Available from: 2015-01-14 Created: 2015-01-14 Last updated: 2015-01-14Bibliographically approved

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Jönsson, Johan
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Department of MathematicsThe Institute of Technology

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