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

;g(1)(t is of order k2, its terms of o(1/r2) can have a zero time average because g(1)(t is linear on the metric elements. thus, (1') cannot be satisfied. nevertheless, a static metric can satisfy (1), since both g(1)(( and g(2)(( are of o(k2/r4) in vacuum. thus, that a gravitational wave carries energy-momentum does not follow from the fact that g(2)(( can be identified with a gravitational energy-stress (8,17(. just as g(( , g(2)(( should be considered only as a geometric part. note that g(t = -kt(m)(t are constraints on the initial data.
in conclusion, in disagreement with the physical requirement, assuming the existence of dynamic solutions of weak gravity for (1) [14,15,19-24( is invalid. this means that the calculations [25,26( on the binary pulsar experiments should, in principle, be re-addressed [12(. this explains also that an attempt by christodoulou and klainerman [26( to construct bounded "dynamic" solutions for g(( = 0 fails to relate to a dynamic source and to be compatible with (3) [28] although their solutions do not imply that a gravitational wave carries energy-momentum.
for a problem such as scattering, although the motion of the particles is not periodic, the problem remains. this will be explained (see section 4) in terms of the 1995 update of the einstein equation, due to&nb

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