Spinor calculus on 5-dimensional spacetimes

Spinor calculus on 5-dimensional spacetimes

We explain how Penrose's spinor calculus of 4-dimensional Lorentzian geometry is implemented in a 5-dimensional Lorentzian manifold. A number of issues, such as the essential spin algebra, the spin covariant derivative and the algebro-differential properties of the curvature spinors are discuss...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Gómez-Lobo, Alfonso García-Parrado, Martín-García, José M
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Astrophysics
Calculus
Manifolds (mathematics)
Physics
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Beschreibung
Zusammenfassung:We explain how Penrose's spinor calculus of 4-dimensional Lorentzian geometry is implemented in a 5-dimensional Lorentzian manifold. A number of issues, such as the essential spin algebra, the spin covariant derivative and the algebro-differential properties of the curvature spinors are discussed.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/229/1/012038