DOC.
10
RESEARCH
NOTES 261
a
r
3y«ß
[127]
'dxa
"dxz
y
e'
ax,.
[eq.
199]
a
3x
(
Unmöglich.
dXv
dxJxJe'
dx:
a
dxa
(
3%xß
^cxß
dgei
3Y«*ß
a2Taß
^
+
^ ^ ^
+
dx"
^eidx.dx
dxz
dXj
3xg
d
dx.
(
)"
^aß
a
/
3xa
dx£
g
\
Zl
dX;i
y
[125][Eq.
196]
and
[eq. 197]
are
the
correct
forms for
the
metrics
[eq. 190]
and
[eq. 191]
of
[p.
48] up to
the
incorrect
signs
of
the
terms
y12, y21,
and
y44
of
[eq. 197].
[126][Eq.
198]
is
a
quantity
close
in
form
to [eq. 193].
It is
evaluated for various
combina-
tions of the free indices (a,ß) and
found
to
vanish for
(4,1), (4,4),
and
(1,2).
[Eq. 198]
is
not
well
formed since the
covariant
gi
sums over
the covariant indices
e
and i.
[127][Eq.
199]
is expanded
in
a manner
apparently
directed
at reducing
it
as
much
as
possi-
ble
to
total
divergences. Compare
with the
method of Einstein and Grossmann
1913
(Doc.
13), part
1,
§5,
for
generating gravitational
field
equations.
[p.
51]
System
der
Gleichungen
für Materie
^(Ä,vrv")-IVG^-T
dSuv
=
0
3x"
TilV
=
P
dx^
dxv
dx dx
'