Nonperturbative gravitomagnetic fields - art. no. 024006

In a cold matter universe, the linearized gravito-magnetic tensor field sat isfies a transverse condition (vanishing divergence) when it is purely radi ative. We show that in the nonlinear theory, it is no longer possible to ma intain the transverse condition, since it leads to a non-terminating chain of integrability conditions. These conditions are highly restrictive, and a re likely to hold only in models with special symmetries, such as the known Bianchi and G(2) examples. In models with realistic inhomogeneity, the gra vito-magnetic held is necessarily non-transverse at second and higher order . [S0556-2821(99)05412-0].