Spinorial infinite equations fitting metric-affine gravity

DOI10.1063/1.526646zbMath0587.53020OpenAlexW1978057634MaRDI QIDQ3713086

A. Cant, Yuval Ne'eman

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526646

zbMATH Keywords

wave equationmetric-affine theoriesDirac embeddinginfinite-component spinormanifield equationsmultiplicity-free irreducible representations

Mathematics Subject Classification ID

Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Spin and Spin({}^c) geometry (53C27) Applications of local differential geometry to the sciences (53B50)

Related Items (4)

The full quadratic metric-affine gravity (including parity odd terms): exact solutions for the affine-connection ⋮ Spinor fields and the GL(4,R) gauge structure in the nonsymmetric theory of gravitation ⋮ Particle-field algebraic interplay and \(\overline{\text{GL}}(4,{\mathbb{R}})\) ⋮ Singular indecomposable representations of sl(2,C) and relativistic wave equations

Cites Work

• On GL(4,R)-covariant extensions of the Dirac equation
• Metric-affine variational principles in general relativity. II: Relaxation of the Riemannian constraint
• The unitary dual of \(Gl(3,R)\) and \(Gl(4,R)\)
• Semi-simple real subalgebras of non-compact semi-simple real Lie algebras. I
• Algebra and physics of the unitary multiplicity-free representations of ∼(SL)(4, R)
• The role of noncompact Lie algebras in relativistic wave equations. I
• The unitary irreducible representations of SL¯ (3,R)
• The algebraic structure of relativistic wave equations
• Teoria Relativistica di Particelle Con Momento Intrinseco Arbitrario
• General relativity with spin and torsion: Foundations and prospects
• Majorana Representations of the Lorentz Group and Infinite-Component Fields

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