MG12 - Talk detail |
Participant |
García-Parrado Gómez-Lobo, Alfonso | |
Institution |
Department of Mathematical Analysis, Ghent University. - Galglaan 2 - Ghent - East Flanders - Belgium | |
Session |
Talk |
Abstract |
MGAT5 |
Spinor calculus on 5-dimensional spacetimes |
Penrose's spinor calculus of 4-dimensional Lorentzian geometry is extended to the case of 5-dimensional Lorentzian geometry. Such fruitful ideas in Penrose's spinor calculus as the spin covariant derivative, the curvature spinors or the definition of the spin coefficients on a spin frame can be carried over to the spinor calculus in 5-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 4-dimensional Newman-Penrose formalism to a 5-dimensional spacetime. |