Gravitational radiation within its source

We review a recently proposed framework for studying axially symmetric dissipative fluids \cite{Ref1}. Some general results are discussed at the most general level. We then proceed to analyze some particular cases. First, the shear-free case is considered \cite{3}. We shall next discuss the perfect fluid case under the geodesic condition, without impossing ab initio the shear–free condition \cite{2}. Finally a dissipative, geodesic fluid \cite{4}, is analyzed in some detail. We conclude by bringing out the attention to some open issues.