Open AccessTHE SPINOR FORMALISM AND THE COMPLEX-VECTOR FORMALISM OF GENERAL RELATIVITY
Author(s) -
Hongxia Guo,
YongShi Wu,
Li Gen-Dao
Publication year - 1974
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.23.5
Subject(s) - spinor , formalism (music) , unimodular matrix , general relativity , mathematical physics , physics , algebra over a field , theory of relativity , mathematics of general relativity , theoretical physics , pure mathematics , mathematics , numerical relativity , visual arts , art , musical
In this paper, using E. Carten's exterior calculus, we give the spinor form of the structure equations, which leads naturally to the Newman-Penrose equations. Further, starting from the spinor space and the sl(2C) algebra, we construct the general complex-vector formalism of general relativity. We find that both the Cahen-Debever-Defrise complex-vector formalism and the Brans one are its special cases. Thus, the spinor formalism and the complex-vector formalism of general relativity are unified on the basis of the unimodular group SL(2C) and its Lie algebra.