Disclination in Lorentz Space-Time

Details Disclination in Lorentz Space-Time Disclination in Lorentz Space-Time

1999-10-14

arxiv.org/abs/gr-qc/9910051v2

Class.Quant.Grav. 18 (2001) 1567-1576

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, 7 pages

Scientific paper

10.1088/0264-9381/18/8/312

The disclination in Lorentz space-time is studied in detail by means of topological properties of $\phi $-mapping. It is found the space-time disclination can be described in term of a Dirac spinor. The size of the disclination, which is proved to be the difference of two sets of su(2)% -like monopoles expressed by two mixed spinors, is quantized topologically in terms of topological invariants$-$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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