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      Some New Exact Solutions in Einstein-Maxwell Theory

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      KUMAR-THESIS-2017.pdf (2.079Mb)
      Date
      2017-08-29
      Author
      Kumar, Vineet
      Type
      Thesis
      Degree Level
      Masters
      Metadata
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      Abstract
      I construct several new exact solutions in Einstein-Maxwell theory with a focus on embedding Nutku helicoid-catenoid instantons in 5 and higher dimensions. Using the Nutku helicoid instanton, I also construct convoluted-like solutions in 6 and higher dimensional Einstein-Maxwell theory. These Nutku-embedded solutions may be interpreted as wormhole handles. I also construct similar solutions through an embedding of the Eguchi-Hanson instanton in higher dimensions. Additionally, I derive two new gravitational instantons using the general Nutku metric. Lastly, I construct a spacetime in which the electric and gravitational field strengths are shown to be determined by the same parameter, i.e. mass alone.
      Degree
      Master of Science (M.Sc.)
      Department
      Physics and Engineering Physics
      Program
      Physics
      Supervisor
      Ghezelbash, Masoud
      Committee
      Bradley, Michael; Steele, Tom; Dick, Rainer; Rayan, Steven
      Copyright Date
      October 2017
      URI
      http://hdl.handle.net/10388/8072
      Subject
      general relativity
      einstein maxwell theory
      gravity
      electromagnetism
      higher dimensions
      instantons
      Eguchi Hanson
      Nutku
      helicoidal
      catenoidal
      wormhole
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