Einstein in Matrix Form by Günter Ludyk
Author:Günter Ludyk
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg
(2.186)
The structure is
(2.187)
Each sub-matrix R γδ has the form
(2.188)
R γδ is thus the sub-matrix of R at the intersection of the γth row and δth column. Furthermore, is the matrix element of the sub-matrix R γδ at the intersection of the αth row and βth column.
With (2.68) and (2.185) one has
(2.189)
For
(2.190)
with
(2.191)
one finally obtains
(2.192)
Naturally, because of the in R occurring matrix difference U 4×4−I 16, the first, (4+2)th, (8+3)th and the 16th column of and of are equal to the zero column. In
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