Covariant Spin Structure

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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26 pages, LaTeX

Scientific paper

Every Dirac spin structure on a world manifold is associated with a certain
gravitational field, and is not preserved under general covariant
transformations. We construct a composite spinor bundle such that any Dirac
spin structure is its subbundle, and this bundle admits general covariant
transformations.

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