Some New Exact Solutions in Einstein-Maxwell Theory
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.
general relativity, einstein maxwell theory, gravity, electromagnetism, higher dimensions, instantons, Eguchi Hanson, Nutku, helicoidal, catenoidal, wormhole
Master of Science (M.Sc.)
Physics and Engineering Physics