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Disclination in Lorentz Space-Time

Sheng Li

gr-qcarXiv:gr-qc/9910051

Abstract

The disclination in Lorentz space-time is studied in detail by means of topological properties of ϕ-mapping. It is found the space-time disclination can be described in term of a Dirac spinor. The size of the disclination, which is proved to be the difference of two sets of su(2)% -like monopoles expressed by two mixed spinors, is quantized topologically in terms of topological invariants-winding number. The projection of space-time disclination density along an antisymmetric tensor field is characterized by Brouwer degree and Hopf index.

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