Spinor calculus on 5-dimensional spacetimes
General Relativity and Quantum Cosmology
2010-01-15 v2 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.0905.2846,
title = {Spinor calculus on 5-dimensional spacetimes},
author = {Alfonso García-Parrado Gómez-Lobo and José M. Martín-García},
journal= {arXiv preprint arXiv:0905.2846},
year = {2010}
}
Comments
Convention mismatch and minor typos fixed. To appear in Journal of Mathematical Physics