The squares of the Dirac and spin-Dirac operators on a Riemann-Cartan space(time)

DOI10.1016/S0034-4877(07)80105-4zbMath1140.83010arXivmath-ph/0703052OpenAlexW3103963581MaRDI QIDQ2472776

Q. A. G. Souza, Waldyr Alves jun. Rodrigues, Eduardo A. Notte-Cuello

Publication date: 25 February 2008

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0703052

zbMATH Keywords

Riemann-Cartan spaceDiracClifford bundlespin-Dirac operators

Mathematics Subject Classification ID

Black holes (83C57) Supergravity (83E50) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of PDEs on manifolds (58J90) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (4)

The role of singular spinor fields in a torsional gravity, Lorentz-violating, framework ⋮ A Clifford bundle approach to the differential geometry of branes ⋮ Notes on conservation laws, equations of motion of matter, and particle fields in Lorentzian and teleparallel de Sitter space-time structures ⋮ Magnetohydrodynamics's Type Equations Over Clifford Algebras

Cites Work

• A local index theorem for non-Kähler manifolds
• Stochastic processes in conformal Riemann-Cartan-Weyl gravitation
• On the holonomy of connections with skew-symmetric torsion
• The Casimir operator of a metric connection with skew-symmetric torsion
• Cartan-Weyl Dirac and Laplacian operators, Brownian motions: the quantum potential and scalar curvature, Maxwell's and Dirac-Hestenes equations, and supersymmetric systems
• Harmonic spinors of the Dirac operator of connection with torsion in dimension four
• The bundles of algebraic and Dirac–Hestenes spinor fields
• Spinor Structure of Space-Times in General Relativity. I
• The many faces of Maxwell, Dirac and Einstein equations. A Clifford bundle approach
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