Spinor formalism and complex-vector formalism of general relativity

Journal Article · Sun Sep 01 00:00:00 EDT 1974 · Chin. J. Phys. (Peking) (Engl. Transl.), v. 23, no. 5, pp. 187-193

OSTI ID:4100368

Han-ying, G; Yong-shi, W; Gendao, L

In this paper, using E. Cartan's exterior calculus, we give the spinor form of the structure equations, which leads naturally to the Newman--Penrose equations. Furthermore, starting from the spinor spaces and the el (2C) algebra, we construct the general complex-vector formalism of general relativity. We find that both the Cahen--Debever--Defrise complex-vector formalism and that of Brans are its special cases. Thus, the spinor formalism and the complex-vector formalism of general relativity are unified on the basis of the uni-modular group SL(2C) and its Lie algebra. (AIP)

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-33-013880
• OSTI ID: 4100368
• Journal Information: Chin. J. Phys. (Peking) (Engl. Transl.), v. 23, no. 5, pp. 187-193, Other Information: Orig. Receipt Date: 30-JUN-76
• Country of Publication: United States
• Language: English

Related Subjects

N76300* -Physics (Theoretical)-Gravitation & General Relativity
644003*
*GENERAL RELATIVITY THEORY- SPINORS
EINSTEIN FIELD EQUATIONS
RIEMANN SPACE
SO GROUPS