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      Investigating Gravity and Electromagnetism on a 10 Dimensional Manifold with Local Symmetry so(2,3)

      Ussher, Matthew Neville
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      Ussher, M. N. (2013). Investigating Gravity and Electromagnetism on a 10 Dimensional Manifold with Local Symmetry so(2,3) (Thesis, Master of Science (MSc)). University of Waikato, Hamilton, New Zealand. Retrieved from https://hdl.handle.net/10289/7941
      Permanent Research Commons link: https://hdl.handle.net/10289/7941
      Abstract
      The Hawthorn model [1] is built upon the idea that the Lie algebra so(2, 3) is a more natural description of the local structure of space-time than the Poincare Lie algebra, with the former contracting to the latter in the limit of the contraction parameter r tending to infinity. This notion is explored in the context of a 10-dimensional space-time referred to as an ADS manifold. Here we build on the work of Crump [2] and try to incorporate field equations for gravity into the model. We derive two apparently different equations describing gravitational phenomena, demonstrate an intimate connection between gravity and electromagnetism and provide a first estimate as to the value of the contraction parameter r.
      Date
      2013
      Type
      Thesis
      Degree Name
      Master of Science (MSc)
      Supervisors
      Hawthorn, Ian
      Publisher
      University of Waikato
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      All items in Research Commons are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.
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