Mathematics – Logic
Scientific paper
Oct 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phdt.........8g&link_type=abstract
Thesis (PhD). THE UNIVERSITY OF ARIZONA, Source DAI-B 60/04, p. 1649, Oct 1999, 120 pages.
Mathematics
Logic
1
General Relativity
Scientific paper
This thesis derives and explores two solutions to the field equations of general relativity. These solutions are special cases of solutions already present in the literature. However, the present derivation is based on physical arguments which provides a basis for discussing the solutions as cosmological objects, rather than simply as a class of solutions with certain symmetries. This derivation naturally gives rise to the idea that the space-times indicated are generated by the passage of walls composed of gases of transcendant tachyons. After deriving the solutions, we explore the geodesics that these walls generate. In general, they tend to focus the paths of particles moving through the walls. It is also found that the walls generate blue-shifts in observed photons emitted from sources that pass through the walls. As applications of these solutions, numerical simulations demonstrate that a toy galaxy passing through the second type of tachyon wall develops spiral structures which persist for several rotations of the galaxy, dissolve, and then reform throughout the lifetime of the galaxy. A number of open problems associated with these walls are discussed.
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