Disclination in Lorentz Space-Time
General Relativity and Quantum Cosmology
2009-10-31 v2
Abstract
The disclination in Lorentz space-time is studied in detail by means of topological properties of -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 invariantswinding number. The projection of space-time disclination density along an antisymmetric tensor field is characterized by Brouwer degree and Hopf index.
Cite
@article{arxiv.gr-qc/9910051,
title = {Disclination in Lorentz Space-Time},
author = {Sheng Li},
journal= {arXiv preprint arXiv:gr-qc/9910051},
year = {2009}
}
Comments
Revtex, 7 pages