Comments on the Cylindrically Symmetric Waves of 't Hooft
Chung Y. Lo
Keywords: Einstein?s equivalence principle; covariance principle; principle of causality; gravitational wave
It has been found that it is impossible to have a dynamic solution for the Einstein equation and the nonexistence of gravitational wave solutions is due to a violation of the principle of causality. However, ?t Hooft claimed that his ?cylindrical symmetric wave? would challenge this conclusion. It is shown that the metric form of the Einstein-Rosen type violates the principle of causality. Thus, the ?wave? of ?t Hooft is invalid in physics because he fails to tell the difference between mathematics and physics. Moreover, there are two errors in his construction, namely: 1) the plane wave has been extended beyond its physical validity as an idealization, and 2) the integration over the angle is not a wave packet and cannot be justified with any physical process.
