DOC.
90
JUNE
1915 105
your theory, namely,
that of
the
charge
distribution
at
equilibrium
(structure
of
unit
charge).[2]
However,
I
have succeeded
only
under
the
assumption
g11 g22 g33
constant,
g44
variable.
I
cite
your Academy
article
(“Formal Basis,
etc.”)[3]
(42a)
Zdtr/dxv=1/2Zgtudguv/dxoTvt
i.e.,
volume force
R0
=
0
yields
for
polar
symmetry: (E
electr.
force)[4]
C.p=c2/4dlng44/dr
cf(df/dr+2c/r)=
(I).....
g44
=
A2£4r8
Potential
equation:[5]
(81)
TÍ_L.44
iz
dx*
\
2^/544
dxa
=
k(&
+
t44
=
0
at
equilibrium.
3
dxA
=
0
&y/g44
=
/e
(k
=
1.87
•
1027
for
Coo =
1 light
vel. at
00)
For
polar
symmetry
(II).....
2 solutions
(a)
cs2r4
=
cie^
+
C2e~
d2B2r5
k,
2
«
=
+
(£2r


k.
dr2
2A 2A
(b)
c2r4
=
Ci
sin

+
C2
cos

r r
\g44
= C =
ACB2r4
Boundary
conditions:
(1)
For
r
=
00 c
=
cœ 3
•
1010
m/sec
or 1
Coo
=
A(c1
+
c2)
Coo
=
Ac2