Fundamental geometric structures for the Dirac equation in general relativity

DOI10.1023/A:1005874109388zbMath0986.83027OpenAlexW116698508MaRDI QIDQ1384071

Arkadiusz Jadczyk, Daniel Canarutto

Publication date: 29 November 2001

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005874109388

Mathematics Subject Classification ID

Spinor and twistor methods applied to problems in quantum theory (81R25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Clifford algebras, spinors (15A66) Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (6)

Two-spinor geometry and gauge freedom ⋮ Two-spinor formulation of first-order gravity coupled to Dirac fields ⋮ THE LOCALLY COVARIANT DIRAC FIELD ⋮ Connections on distributional bundles ⋮ The Dirac point electron in zero-gravity Kerr–Newman spacetime ⋮ Positive spaces, generalized semi-densities, and quantum interactions

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