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Spinoren in statischen Raum‐Zeiten
Author(s) -
Illge Reinhard
Publication year - 1986
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19861280115
Subject(s) - spinor , mathematics , connection (principal bundle) , space (punctuation) , pure mathematics , curvature , spin connection , algebra over a field , spin (aerodynamics) , mathematical physics , geometry , physics , computer science , gauge theory , thermodynamics , operating system
In this paper, a spinor algebra and analysis adapted to static space‐times is presented. Suitable SU(2)‐bases are choosen in spinor space and it is shown, how these bases determine orthogonal systems in (three‐dimensional) space. Some theorems on the curvature spinors of static space‐times are proved by the help of the calculus of the connection spinors. The internal structure of the WEYL spinor as well as its connection with the RICCI tensor of the underlying (three‐dimensional) space are examined. The presented calculus allows the computation of the NEWMAN‐PENROSE spin coefficients and the canonical normal 1‐spinors of the WEYL spinor with a relatively small expense, which is demonstrated on a sequence of examples.