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TitleSpinor calculus on five-dimensional spacetimes
Author(s)García-Parrado Gómez-Lobo, Alfonso
Martín-García, José María
KeywordsSpinor calculus
Five-dimensional General Relativity
Newman-Penrose formalism
Einstein field equations
space-time configurations
Issue date17-Dec-2009
PublisherAIP Publishing
JournalJournal of Mathematical Physics
Citation"Journal of Mathematical Physics". ISSN 0022-2488. 50 (Dec. 2009) 122504-122526.
Abstract(s)Penrose’s spinor calculus of four-dimensional Lorentzian geometry is extended to the case of five-dimensional Lorentzian geometry. Such fruitful ideas in Penrose’s spinor calculus as the spin covariant derivative, the curvature spinors, or the defi- nition of the spin coefficients on a spin frame can be carried over to the spinor calculus in five-dimensional Lorentzian geometry. The algebraic and differential properties of the curvature spinors are studied in detail, and as an application, we extend the well-known four-dimensional Newman–Penrose formalism to a five- dimensional spacetime.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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