212 DOC.
10
RESEARCH NOTES
[24]The
metric
[eq.
32]
is
found
from
[eqs.
27-31]
by
setting
c0
=
c1
=
c2
=
k
=
k'
=
0,
K"
=
k'"
=
1/2,
and
g44
=
1.
[25]Einstein
notes
that the contravariant form
[eq. 33]
of metric
[eq. 32]
has the identical
matrix of
components
as
those of
a
covariant Minkowski metric
diag
(-1,-1,
1)
transformed
to uniformly rotating
coordinates
by
t'
=
t,
x'
=
xcosßt
- ysinßt, y'
=
xsinßt
+ ycosßt,
a
result that follows
provided
that
[eq.
34]
holds.
[26]G
= det
(gik)
is
computed.
G
=
1
if
[eq.
34]
holds.
[27]Alternate values of the
constants
for the metric
[eqs. 27-31] gives
a
metric for
which
G
=
1
fails
to
hold.
[28]For
related
calculations,
see
[pp.
21-22].
[p.
9]
XI
[29]
+
axj+ax
Ebenentensor.
a
Vektor.
Tensor.
BilK
xl
+
____
- ag4 -
ax1
~_njlj1g~ç3
aXK
(
1K
lj1~a
J
I
___ ___
it
Ia
K
ag1~
+
-
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