4 5 0 D O C . 5 2 2 U N I F I E D F I E L D T H E O R Y [ F R A G M E N T ] 522. Unified Field Theory [Fragment] [10 May 1929][1] fulfilled, which, together with the symmetric system of equations are certainly too few equations to permit a complete determination of the field. One can readily con- vince oneself of this, e.g., by carrying out an exact or an approximate treatment of the spherically symmetrical case. A correct consideration of the limiting case is apparently the following: Along with , not only but also approach zero, and in fact (in the limit) pro- portionally to . We make use of the identity (52) which can be obtained from (37) after raising the index there. Owing to (47), this can be replaced by (52a) If we carry out the operation on (46a), we obtain the following equation, taking (52a) into account: (52b) 3 S / S  3 D G 2  0 G 2 /  G 2  + D  H 2  1 2 S / + 0 D 2 D H 2  3 D f  + 0 =
Previous Page Next Page