DOC.

47

309

We

multiply

these

equations

by

(1+c2)

and

put

for

the sake

of

brevity

I*

=

I

r*

=

y

,

etc.

/* =

P

Neglecting terms

of the second

power

in

7,

we

obtain the

equations

1

c

1

c

1

c

*

dX*'

?ut+

w

*

dY*

p*u +

V

0£*

p*

c+

dN*

dM*

~K

dN*

flf

dL*

dL*

(31a)

1

dL*

c

UF

1 dM*

c

~W

dY*

W

dZ*

W

dZ*

~Wq

dX*

1

dN* dX* dY*

W

(32a)

These

equations show

first

of

all

how

the gravitational field

affects the

static and stationary

phenomena. The

same

laws

hold

as

in the

gravitation–

free

field,

except

that the field

components

X,

etc.

are

replaced

by

X[1

+

yE/c2],

etc., and

p

is

replaced

by

p[1

+

yE/c2].

Furthermore, to

follow the

development

of

nonstationary

states,

we

make

use

of the time

r

in

the

terms

differentiated with respect

to

time

as

well

as

in the definition of the

velocity

of

electricity, i.e.,

we

put

according

to

(30)

d

c

d

and

1+#

Tt

wE=[1+yE/c2]

[101]

[102]