On the incompatibility of gravitational radiation with the 1915 Einstein equation

It is shown that the 1915 Einstein equation is incompatible with the physic al notion that a wave carries away energy momentum. This proof is compatibl e with the Maxwell-Newton approximation (the linear field equation for weak gravity), and is supported by the binary pulsar experiments. For dynamic p roblems, the linear field equation is independent of, and furthermore incom patible with, the Einstein equation. The linear equation, as a first-order approximation, requires the existence of the weak gravitational wave such t hat it must be bounded in amplitude and be related to the dynamics of the s ource of radiation. Due to neglecting these crucial physical associations, in addition to inadequate understanding of the equivalence principle, unphy sical solutions were mistaken as gravitational waves. it is concluded theor etically that, as Einstein and Rosen suggested, a physical gravitational wa ve solution for the 1915 equation does not exist. This conclusion is given further support by analyzing the issue of plane waves versus exact "wave" s olutions. Moreover, the approaches of Damour and Taylor for the radiation o f binary pulsars would be valid only if they are as an approximation of the equation of 1995 update. And the update equation shows that the singularit y theorems prove only the breaking down of Wheeler-Hawking theories, but no t general relativity. Also, it is pointed out that some Lorentz manifolds a re among those that actually disagree with known experimental facts.