Disclination in Lorentz spacetime

DOI10.1088/0264-9381/18/8/312zbMATH Open0985.83019arXivgr-qc/9910051OpenAlexW1995013114MaRDI QIDQ2724829

Sheng Li

Publication date: 2 June 2002

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/gr-qc/9910051

zbMATH Keywords

Riemannian curvaturedisclinationtopological defectDirac spinorgauge field tensorLorentz spacetime

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Space-time singularities, cosmic censorship, etc. (83C75) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

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