New class of geodesic radiating systems
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The Einstein field equations and junction conditions are studied for a radiating object in which particles are travelling in geodesic motion. The boundary condition at the surface of the star is a Riccati equation in general. We show that several new classes of exact solutions exist. The solutions have a simple form and can be expressed in terms of elementary functions. Earlier models are regained which were found by direct integration of the differential equation and the Lie theory of extended groups.