A space-time calculus based on symmetric 2-spinors

DOI10.1007/s10714-023-03088-6zbMath1528.83120arXiv2210.02423OpenAlexW4327711480MaRDI QIDQ6174856

Thomas Bäckdahl, Steffen Aksteiner

Publication date: 15 July 2023

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.02423

zbMATH Keywords

symbolic computer algebraspinor algebrasymmetric spinors

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Relativistic cosmology (83F05) Spinor and twistor methods applied to problems in quantum theory (81R25) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Clifford algebras, spinors (15A66) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

• Compatibility complex for black hole spacetimes
• Second order symmetry operators
• A space-time calculus based on pairs of null directions
• Symmetries of linearized gravity from adjoint operators

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