504
DOC. 487
MARCH
1918
4)
For
field
equations
we
have
my
(16a), (16b)
and
your
(7),
(8)
corresponding
to
a)
the
ten:
Kuv
+
aQuv,
=
0,
or
Kvo
+
aQvo
=
0
b)
the
remaining: Qp
=
0.
5)
Between
your
left-hand
sides
the
identities
(17)
of
my
note
hold,
which
I
would
like
to
reproduce
here in
this
way:
ddKZ
+ aQX-a^gQVq,)
^
"
dwv
¿
LM,
" P
6)
Using
field
equations
(b)
I
shall cancel out
the
Qp's
on
the
left
and
right–
hand
sides,
but
only apply
field equations
(a)
on
the
right-hand
side.
I
then
have:
Td{KZ
+ aZ)
__Q
"
dwv
7)
These
equations
naturally
are
physically meaningless,
since
the
Kvo
+
aQvo's
are
of themselves
zero
in
consequence
of
(a);
the
zero
on
the
right-hand
side
does not
result
from
the
differentiation.
It
is just
for
this
reason
that
these
equations
(6) are
not
analogous
to
the
law
of
the conservation
of
energy
in classical
mechanics
ewgeg
=
0).
8)
Now,
however, you set, according
to
(18),
(19)
of
your paper,[9]
lrgwekrg
weg
e4wge
hyjh
ytkyr
rweh
and
you
note in
(17)
that-because
G
is
an
invariant
built
in
a
particular
way
against arbitrary
transformations of
x-
weg
t234t
4t2
wgegw
efe3rtf
9)
Your
equations
hence
distinguish
themselves from
(6)
only
in
that
you
have
inserted under the
differentiation
symbol
a
term
whose
divergence
vanishes
identically. Besides,
this
term
depends only
on
the
guv's
and in
no
way
on
the
qp's.