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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