Is activity matter gravitational wave?
1.Conclusion
Answer is NO.
Gravitational wave generate by the device is too small.
Consequently we can not explain the action-reaction
law by Einstein equation.
2.Result of calculation
We use the linear approximation.
We simplify the device.
The simplified device is made of 4 mass point.
The values of parameter of the device are follows.
When
and
,
metric atis
follows.
metric atis
follows.
The metric by Schwarzschild solution at north pole
point have following size.
Very big !
Therefore, we can neglect the effect of gravity to
calculate by the device.
3.The way of calculation
Einstein equation.
（１）
The linear approximated gravitational field is described as follows.
（２）
We introduce
.
is metric of inertial system
.
（３）
Eq. (1) is rewritten , to the following form by using
Eq. (3).
(４)
The solution of the equation (4) is known with electromagnetism
, and it is
(５)
The energy momentum tensor by N mass point of can be
written as follows.
(６)
(
=1,2,...N)
is mass of 
th mass point,
th mass point, 
is position of
.
By the way ,
(７)
is deletion function
of Dirac.
can be written
as follows by Eq. (6) and (7) at (i,k=1,2,3).
(８)
is follows.
(９)
Now we can calculate the weak gravitational field (
gravitational wave )
that generates by exercising mass point in inertia
system by using (2)(3)(8).
Gravitational wave by inertial force deviation
Next we calculate gravitational field create by device.
We can rewrite it world line in inertia system.
(10)
We can calculate metric of gravitational field generated
from the device by Eq. (10) and Eqs.(2)(3)(8).
But it is very complex expression.
The result of it ,we shown fast.