3. Electronic Theses and Dissertations (ETDs) - All submissions

Permanent URI for this communityhttps://wiredspace.wits.ac.za/handle/10539/45

Browse

Filters

20131

Settings

Author: search.filters.author.Jamal, SSubject: search.filters.subject.Symmetry (Mathematics)

Search Results

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    An analysis of the symmetries and conservation laws of some classes of nonlinear wave equations in curved spacetime geometry
    (2013-08-08) Jamal, S
    The (1+3) dimensional wave and Klein-Gordon equations are constructed using the covariant d'Alembertian operator on several spacetimes of interest. Equations on curved geometry inherit the nonlinearities of the geometry. These equations display interesting properties in a number of ways. In particular, the number of symmetries and therefore, the conservation laws reduce depending on how curved the manifold is. We study the symmetry properties and conservation laws of wave equations on Freidmann-Robertson-Walker, Milne, Bianchi, and de Sitter universes. Symmetry structures are used to reduce the number of unknown functions, and hence contribute to nding exact solutions of the equations. As expected, properties of reduction procedures using symmetries, variational structures and conservation laws are more involved than on the well known at (Minkowski) manifold.
Copyright Ownership Is Guided By The University's

Intellectual Property policy

Students submitting a Thesis or Dissertation must be aware of current copyright issues. Both for the protection of your original work as well as the protection of another's copyrighted work, you should follow all current copyright law.