DOC.
71
PRINCETON
LECTURES 349
THE GENERAL THEORY
Then
we
get
for
Tuv
and
Tuv
the values
(104)
0
0 0
0
0
0
0
0
0 0
0 0
0 0 0
-a
For T
we
get
the value
a,
and,
finally,
for
T*uv
the
values,
(104a)
a/2
0 0 0
0
a/2
0 0
0 0
a/2
0
0
0 0
-a/2
We
thus
get,
from
(101),
(101a)
k
Í
adV0
7u=7s2
=
733
=
7
44
=
+
47T
jTdV
o
while
at
the
other
ruv
vanish. The last
of these
equa-
tions,
in
connexion
with
equation
(90a),
contains
New-
ton’s
theory
of
gravitation.
If
we
replace
l
by ct
we
get
(90b)
i
d*x"
_
Kc2
d
Í
rdV0
{
dt2
Sir
dx"
J
r
{4}
We
see
that the Newtonian
gravitation
constant
K,
is
connected with the
constant
k
that
enters
into
our
field
equations by
the relation
(105)
V
KC2
£