Abstract:
We study the behaviour of a radiating star when the interior expanding, shearing fluid
particles are traveling in geodesic motion. We demonstrate that it is possible to obtain
new classes of exact solutions in terms of elementary functions without assuming a
separable form for the gravitational potentials or initially fixing the temporal evolution
of the model unlike earlier treatments. A systematic approach enables us to write the
junction condition as a Riccati equation which under particular conditions may be
transformed into a separable equation. New classes of solutions are generated which
allow for mixed spatial and temporal dependence in the metric functions. We regain
particular models found previously from our general classes of solutions.
