Gravitational field of radiating systems twisting free type II metrics

A general twisting free type II solution is found to the Einstein equations with radiation described by the energy-momentum tensor $8\pi T_{\mu\nu}=\Phi l_\mu l_\nu$ ($l_\mu l^\mu=0$, $l_\mu$ is the principal null direction of the Weyl tensor). The solution contains one arbitrary function of three variables. The possibility of using the above energy-momentum tensor to describe highfrequency radiation is discussed.