Spinor calculus on five-dimensional spacetimes
| Autor: | Alfonso García-Parrado Gómez-Lobo, José María Martín-García |
|---|---|
| Přispěvatelé: | Laboratoire Univers et Théories (LUTH (UMR_8102)), Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Université Pierre et Marie Curie - Paris 6 (UPMC), Universidade do Minho |
| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: |
High Energy Physics - Theory
Newman-Penrose formalism geometry space-time configurations algebra Curvature 01 natural sciences General Relativity and Quantum Cosmology Covariant derivative 0103 physical sciences Calculus Einstein field equations Algebraic number 010306 general physics 02.10.-v Geometry differential geometry and topology Five-dimensional General Relativity Mathematical Physics Exact solutions Physics Condensed Matter::Quantum Gases Science & Technology Spinor Newman–Penrose formalism Spacetime 010308 nuclear & particles physics 04.20.Jb Space time Logic set theory and algebra Statistical and Nonlinear Physics 16. Peace & justice [SDU]Sciences of the Universe [physics] Mathematics::Differential Geometry Spinor calculus 02.40.-k |
| Zdroj: | Journal of Mathematical Physics Journal of Mathematical Physics, 2009, 50, pp.122504-122504. ⟨10.1063/1.3256124⟩ Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP |
| DOI: | 10.1063/1.3256124⟩ |
| Popis: | 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. Gent University (Belgium) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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