Relativity, at least, is conceptually wrong. Space is a containment, time is a measurement of state,  independent from space. There is no space-time relationship. Space is curved, really means that the fields in the space are curved, not space itself. Electric magnetic wave travels in the field is curved, not straight as in Euclidean space. Fields in space shall not be considered as part of the space. 

We don't even know what exactly is the gravity, and to conclude that that is gravitational wave is premature.