Spinors in Higher Dimensional and Locally Anisotropic Spaces

Details Spinors in Higher Dimensional and Locally Anisotropic Spaces Spinors in Higher Dimensional and Locally Anisotropic Spaces

1996-04-05

arxiv.org/abs/gr-qc/9604015v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

54 pages, Revtex, an extension of the paper published in J. Math. Phys. 37 (1996), 508--523

Scientific paper

10.1063/1.531406

The theory of spinors is developed for locally anisotropic (la) spaces, in brief la-spaces, which in general are modeled as vector bundles provided with nonlinear and distinguished connections and metric structures (such la-spaces contain as particular cases the Lagrange, Finsler and, for trivial nonlinear connections, Kaluza-Klein spaces). The la-spinor differential geometry is constructed. The distinguished spinor connections are studied and compared with similar ones on la-spaces. We derive the la-spinor expressions of curvatures and torsions and analyze the conditions when the distinguished torsion and nonmetricity tensors can be generated from distinguished spinor connections. The dynamical equations for gravitational and matter field la-interactions are formulated.

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