DOC. 10 RESEARCH NOTES
215
I
dy
\LV
\
V
+
1
1
dG
2
\VG
dx^y
=
0
I
d8Pc
rpa
po
3aV
G
V.
y^?
y'PO
[32][Eq.
37]
is the covariant derivative
A2(p
=
ymvQ;
mv
(see note 8).
It reduces
to
ymvp,mv
under the condition
[eq. 38],
which
is equivalent
to
the harmonic coordinate condition
A2xi
=
0.
3(p
av
dxV
3
zugeordneter
Vektor
[33]
[eq.
39]
JG
dx
V
1^
a
Jr ^
(7r
av)
[eq.
40]
9
I#|J.VX
x
=
iT^v
=
lY.vo3x
3
[p. 12]
[connects
p. 11]
XVgy
3
a l
3cp ^
V°5xo IVG
3xV
Skalar
It
32(p
+
Y,
9(p
1
dG
Skalar
vo
vadxvdxa
vadxv
2
G
dxa
G'
=
P2G
r'
=
1
Iyva3x3z
32(p
+ 1
5cp
l
9G
3cp
-
=
4"'
-=r
vodxv2G
dxG dxv dxG
v
Soll
es
nur
einen
derartigen
Skalar
geben
so
muss
-
=
0
o
°xo