on incompatibility of gravitational radiation with the 1915 einstein equation 法律论文

is of o(k2/r2) (5,8,17(.
one may obtain some general characteristics of a dynamic solution for an isolated system as follows:
1) the characteristics of some physical quantities of an isolated system:
for an isolated system consisting of particles with typical mass, typical separation , and typical velocities , weinberg (8( estimated, the power radiated at a frequency ( of order /will be of order

p " ((/)624 or p "8/,

since (/is of order 2. the typical deceleration rad of particles in the system owing this energy loss is given by the power p divided by the momentum, or rad "7/. this may be compared with the accelerations computed in newtonian mechanics, which are of order 2/, and with the post-newtonian correction of 4/. since radiation reaction is smaller than the post-newtonian effects by a factor 3, if (( c, the velocity of light, the neglect of radiation reaction is perfectly justified. this allows us to consider the motion of a particle in an isolated system as almost periodic.
consider, for instance, two particles of equal mass m with an almost circular orbit in the x-y plane whose origin is the center of the circle (i.e., the orbit of a particle is a circle if radiation are neglected). thus, the principle of causality [9,10] implies that the metric g(

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