Spinor formalism and complex-vector formalism of general relativity
Journal Article
·
· Chin. J. Phys. (Peking) (Engl. Transl.), v. 23, no. 5, pp. 187-193
OSTI ID:4100368
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, Journal Name: Chin. J. Phys. (Peking) (Engl. Transl.), v. 23, no. 5, pp. 187-193; ISSN CHJPA
- Country of Publication:
- United States
- Language:
- English
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