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      New Class Of Exact Solutions To Einstein-Maxwell-Dilaton Theory On Four-Dimensional Bianchi Type IX Geometry

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      HOSSEINZADEHFAHIM-THESIS-2020.pdf (5.414Mb)
      Date
      2020-08-13
      Author
      Hosseinzadeh Fahim, Bardia
      Type
      Thesis
      Degree Level
      Masters
      Metadata
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      Abstract
      We construct new classes of cosmological solution to the five dimensional Einstein-Maxwell-dilaton theory, that are non-stationary and almost conformally regular everywhere. The base geometry for the solutions is the four-dimensional Bianchi type IX geometry. In the theory, the dilaton field is coupled to both the electromagnetic field and the cosmological constant term, with two different coupling constants. We consider all possible solutions with different values of the coupling constants, where the cosmological constant takes any positive, negative or zero values. In the ansatzes for the metric, dilaton and electromagnetic fields, we consider dependence on time and two spatial directions. We also consider a special case of the Bianchi type IX geometry, in which the geometry reduces to that of Eguchi-Hanson type II geometry and find a more general solution to the theory.
      Degree
      Master of Science (M.Sc.)
      Department
      Physics and Engineering Physics
      Program
      Physics
      Supervisor
      Ghezelbash, Masoud
      Committee
      Sowa, Artur; Dick, Rainer; Pywell, Rob; Koustov, Alexander
      Copyright Date
      July 2020
      URI
      http://hdl.handle.net/10388/12964
      Subject
      Exact solutions
      Einstein Maxwell dilaton theory
      General relativity
      Bianchi type IX geometry
      gravity
      higher dimensions
      Eguchi Hanson
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