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Lanczos potentialer i kosmologiska rumtider
Linköping University, Department of Mathematics.
2004 (Swedish)Independent thesis Basic level (professional degree)Student thesisAlternative title
Lanczos Potentials in Perfect Fluid Cosmologies (English)
Abstract [en]

We derive the equation linking the Weyl tensor with its Lanczos potential, called the Weyl-Lanczos equation, in 1+3 covariant formalism for perfect fluid Bianchi type I spacetime and find an explicit expression for a Lanczos potential of the Weyl tensor in these spacetimes. To achieve this, we first need to derive the covariant decomposition of the Lanczos potential in this formalism. We also study an example by Novello and Velloso and derive their Lanczos potential in shear-free, irrotational perfect fluid spacetimes from a particular ansatz in 1+3 covariant formalism. The existence of the Lanczos potential is in some ways analogous to the vector potential in electromagnetic theory. Therefore, we also derive the electromagnetic potential equation in 1+3 covariant formalism for a general spacetime. We give a short description of the necessary tools for these calculations and the cosmological formalism we are using.

Place, publisher, year, edition, pages
Matematiska institutionen , 2004.
Keyword [en]
Applied mathematics, Weyl-Lanczos equation, Lanczos potentials, 1+3 covariant formalism, perfect fluid, cosmology, Bianchi type I models, shear-free and irrotational models
Keyword [sv]
Tillämpad matematik
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-2582ISRN: LITH-MAT-EX--04/12--SEOAI: oai:DiVA.org:liu-2582DiVA: diva2:19917
Uppsok
fysik/kemi/matematik
Available from: 2004-11-03 Created: 2004-11-03

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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