260
DOC.
10 RESEARCH NOTES
[p.
50]
[124][Eq.
169]
is
the
gravitation tensor
[eq.
169]
of
[p.
44],
which Einstein
commences
to
expand.
The notation
in
[eq.
195]
indicates Einstein's intention
to contract
with
yaß, i.
Fol-
lowing
the discussion of Einstein and Grossmann
1913 (Doc.
13),
part
1, §5, a
gravitation
tensor
Gaß
contracted with
J~Gga$,
i
is
proportional to
the
divergence
of the
stress-energy
tensor
for
the
gravitational field.
2
H
-
-
-
2
1
212
-
-
-
Z
j
1
12
1
12
1
12
1
11
2
-1 0
co
y
[125]
0
-1
cox
12
4
COy
-cox
1
-
co2 (x2
+
y2)
-
1
+
co
2y2
co
2xy
CO
y
2
CO
xy
dgi2
dg24
dxA
[eq. 196]
-cox
d /
dx.
lei
\
dxt
J
2
dxa
3xp
coy
[eq.
197]
-
1
+ co2x2 -cox
-1
dx2
3xj
dg22
dg24
5x4
dx2
9^44
dg
14
5xj
dx
=
0
+
1
+
1
+1
-1
-2
=
0
=
0.
d d d
(y72(Oy)
=
-((o2xy
2(02y)
+
-
((-
1
+
-cox2)
2w2y
dx£
v
'e2 dx
0[?]
dy
d dya
\
g
dxt
{
E'
dXj
,
^*W[126]
dxa
[eq. 198]
a
=
4
ß
= 1
i
=
2
J-
S,2°»
=
0
a
=
4
ß
=
4
verschwindet
a
=
1
ß
=
1
stimmt.
d
i
=
1
37.
s»0
J)
a
= 1
ß
=
2
i
=
2
d
,
(ge2*
x)
verschwindet.
Gleichung
erfüllt.