Graduate Thesis Or Dissertation

 

Killing spinors and affine symmetry tensors in Gödel's Universe Public Deposited

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/0c483p793

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  • The existence of generalized symmetries of Maxwell's equations in Gödel's Universe is investigated. It is shown that their existence is in turn tied to the existence of certain spinorial objects called Killing spinors. The conformal algebra, corresponding to valence (1; 1) Killing spinors, for Gödel's Universe is discussed in detail. Following this, higher valence Killing spinors are investigated, enabling a classification of generalized symmetries of orders one and two, and a partial classification for order three. A new class of symmetry tensor is defined, which generalizes the notion of an affine vector of a spacetime, and its properties investigated. It is shown that there are nontrivial examples in several spacetimes of scholarly interest, including the Gödel's Universe. Finally, some information about higher valence Killing spinors, the enumeration of which is necessary in order to find further generalized symmetries, is given, followed by a conjecture about the nature of same.
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