1995 update. in addition, the update equation shows that the singularity theorems prove only the breaking down of wheeler-hawking theories, but not general relativity. it is pointed out that some lorentz manifolds are among those that actually disagree with known experimental facts. key words: compatibility, dynamic solution, gravitational radiation, principle of causality, plane-wave, wheeler-hawking theories
1. introduction
in physics, the existence of a wave is due to the fact, as required by special relativity, that a physical cause must propagate with a finite speed [1]. this implies also that a wave carries energy-momentum. thus, the field equation for gravity must be able to accommodate the gravitational wave, which carries away gravitational energy-momentum. in this paper, it will be shown that the einstein equation of 1915 fails this.
in general relativity, the einstein equation of 1915 [2] for gravity of space-time metric g(( is
g(( ( r(( - g((r = - kt (m)(( , (1)
where g(( is the einstein tensor, r(( is the ricci curvature tensor, t(m)(( is the energy-stress tensor for massive matter, and k (= 8((c-2, and ( is the newtonian coupling constant) is the coupling constant1). thus,
g(( ( r(( - g((r = 0, or r(( = 0, (1')
at vacuum. however, (1') also implies no gravitational wave to carry&nb
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