Some New Exact Solutions in Einstein-Maxwell Theory

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Date
2017-08-29Author
Kumar, Vineet
Type
ThesisDegree Level
MastersMetadata
Show full item recordAbstract
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 PhysicsProgram
PhysicsSupervisor
Ghezelbash, MasoudCommittee
Bradley, Michael; Steele, Tom; Dick, Rainer; Rayan, StevenCopyright Date
October 2017Subject
general relativity
einstein maxwell theory
gravity
electromagnetism
higher dimensions
instantons
Eguchi Hanson
Nutku
helicoidal
catenoidal
wormhole