9780192806727.pdf

THE LATER JOURNEY

(17.24)

(17.25)

(17.26)

(17.27)

(17.28)

The Second Group

6. The Ricci tensor Rm is defined by

This tensor plays a central role in all unified field theories discussed hereafter.

5. There is a curvature tensor defined by


6. The connection transforms as

is a tensor of the third rank.

338

1.

2.

3.

4.

(17.29)

(17.30)

(17.31)

5. If A* is a contra variant vector field with a covariant derivative defined by

(17.32)

then

6. The quantity R defined by

(17.33)

(17.34)

is a scalar.
7.

8. The equations

(17.35)

(17.36)