  In a recent approach in modelling a radiating relativistic star undergoing
gravitational collapse the role of the Weyl stresses was emphasised. It is
possible to generate a model which is physically reasonable by approximately
solving the junction conditions at the boundary of the star. In this paper we
demonstrate that it is possible to solve the Einstein field equations and the
junction conditions exactly. This exact solution contains the Friedmann dust
solution as a limiting case. We briefly consider the radiative transfer within
the framework of extended irreversible thermodynamics and show that
relaxational effects significantly alter the temperature profiles.
