The Classical Two-Component Spinor Formalisms for General Relativity I

Autor:	J. G. Cardoso
Rok vydání:	2012
Předmět:	Physics Spinor Gauge group General relativity Applied Mathematics Structure (category theory) Van der Waerden's theorem Rotation formalisms in three dimensions Action (physics) Spin-½ Mathematical physics
Zdroj:	Advances in Applied Clifford Algebras. 22:955-983
ISSN:	1661-4909 0188-7009
Popis:	The classical two-component spinor formalisms for general relativity as built up by Infeld and van der Waerden afford an elegant approach to spacetime geometry. Deeply involved in the inner structure of these frameworks is the beautiful theory of spin densities of Schouten. In this work Schouten’s theory is presented in detail. The elementary aspects of the spin-affine geometry borne by the formalisms are then described in a systematic way. It is particularly shown that the symmetric parts of any admissible spin connections behave covariantly under the action of the Weyl gauge group.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f5a8ea2b12d2418a278e3f6bc60754d5 https://doi.org/10.1007/s00006-012-0329-5 Zobrazit plný text záznamu Full text from SpringerLink