  In this paper, we have studied nonstationary radiative spherically symmetric
spacetime, in general covariant theory ($U(1)$ extension) of
Ho\v{r}ava-Lifshitz gravity without the projectability condition and in the
infrared limit. The Newtonian prepotential $\varphi$ was assumed null. We have
shown that there is not the analogue of the Vaidya's solution in the
Ho\v{r}ava-Lifshitz Theory (HLT), as we know in the General Relativity Theory
(GRT). Therefore, we conclude that the gauge field $A$ should interact with the
null radiation field of the Vaidya's spacetime in the HLT.
