214
DOC.
10 RESEARCH
NOTES
Setzen wir
Jg
= 0^v
0
[eq.
35]
I^-Umv0uv)+
[IV
U^\i
2-
2)«-
ajc"
f»
-4^i=0
Im
Allgemeinen
zugeordneter
Vektor[31]
Gilt für
jeden symm.
Tensor
z.
B.
Jg
y
[eq. 36]
a
1yr
(V)
+
-
\S
UV
(iv
V
|IV
3g
|IV
G
Y
|
=
0
oder
Vierervektor
dx...
J
d
Jg
I
a
G
a*
Tg
a
m
m
Stimmt.
[30]In the notebook this
page opens
a
new
section
on
gravitation
which
was
written
begin-
ning
from the other end of the notebook
(see
the
descriptive
note). On
this
page,
Einstein
writes the basic
equations
for the
dynamics
of
a
unit
point
mass
and
continuous
matter
(see
Einstein and Grossmann 1913
[Doc. 13],
part
1, §§2
and
4.
[31][Eq.
35] represents
the
vanishing
of the covariant
divergence
of the
stress-energy ten-
sor;
[eq.
36],
the
vanishing
of the covariant
divergence
of the metric
tensor.
The latter
identity
is
verified
by
Einstein. The
expression
for
the
covariant
divergence
of
a
second-rank
symmet-
ric
tensor appears
in Einstein
and Grossmann
1913
(Doc.
13),
p.
10
and
pp.
34-35.
[p.
11]
Yy
-
[32]
zugeordneter
Vekt
Vektor
i
a
i-
a
cp
(Y,.vVg^-)
=
0
Skalar
[eq.
37]
JG
dx
Naheliegende Hypothese
[connects
p. 12]
(AJ~
~)
= 0 [eq. 38]
Jo
___
1
__
2~JO
dx1