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Some aspects of Kaluza-Klein theory

Samson, Andrew M. (1983) Some aspects of Kaluza-Klein theory. Doctor of Philosophy (PhD) thesis, University of Kent. (doi:10.22024/UniKent/01.02.94635) (KAR id:94635)

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Five dimensional Kaluza-Klein theory is described from the historical viewpoint. This theory is then generalised firstly for a non-Abelian group and then for the specific group SU(2) x U(1). The calculation of the scalar curvature of the extended manifold is performed using Cartan's structure equations. The role of Killing vectors is heavily emphasized in this treatment. Using certain results from this calculation an eight dimensional Dirac equation is derived and then simplified. Each term in the equation is then discussed. The thesis ends with some concluding remarks.

Item Type: Thesis (Doctor of Philosophy (PhD))
Thesis advisor: Ryder, L. H.
DOI/Identification number: 10.22024/UniKent/01.02.94635
Additional information: This thesis has been digitised by EThOS, the British Library digitisation service, for purposes of preservation and dissemination. It was uploaded to KAR on 25 April 2022 in order to hold its content and record within University of Kent systems. It is available Open Access using a Creative Commons Attribution, Non-commercial, No Derivatives ( licence so that the thesis and its author, can benefit from opportunities for increased readership and citation. This was done in line with University of Kent policies ( If you feel that your rights are compromised by open access to this thesis, or if you would like more information about its availability, please contact us at and we will seriously consider your claim under the terms of our Take-Down Policy (
Uncontrolled keywords: Relativity theory
Subjects: Q Science > QC Physics
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
SWORD Depositor: SWORD Copy
Depositing User: SWORD Copy
Date Deposited: 13 Oct 2022 11:15 UTC
Last Modified: 13 Oct 2022 11:15 UTC
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