Spinor Structure of Space-Times in General Relativity. I
- 1 November 1968
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 9 (11) , 1739-1744
- https://doi.org/10.1063/1.1664507
Abstract
In order to define spinor fields on a space‐time M, it is necessary first to endow M with some further structure in addition to its Lorentz metric. This is the spinor structure. The definition and the elementary implications of the existence of a spinor structure are discussed. It is proved that a necessary and sufficient condition for a noncompact space‐time M to admit a spinor structure is that M have a global field of orthonormal tetrads.Keywords
This publication has 7 references indexed in Scilit:
- Observability of the Sign Change of Spinors underRotationsPhysical Review B, 1967
- The Flatter Regions of Newman, Unti, and Tamburino's Generalized Schwarzschild SpaceJournal of Mathematical Physics, 1963
- An Approach to Gravitational Radiation by a Method of Spin CoefficientsJournal of Mathematical Physics, 1962
- New Research on Old GravitationScience, 1959
- Some new conservation lawsAnnals of Physics, 1959
- Line Element Fields and Lorentz Structures on Differentiable ManifoldsAnnals of Mathematics, 1955
- On C 1 -ComplexesAnnals of Mathematics, 1940