Gravitational Wave Assumptions

[rlolders...@amherst.edu]

I am wondering about the extent to which the generation of
gravitational waves is dependent upon the assumption that 4d spacetime
is locally Lorentz invariant on very small scales. Put another way,
if spacetime were not asymptotically flat, or nearly so, would that
have a major effect on predicted gravitational wave phenomena? Or are
gravitational waves a larger scale phenomena, so that this assumption
does not much effect their generation.

Thanks in advance for any enlightenment,

Rob
www.amherst.edu/~rloldershaw