Abstract
A seminumeric method by Herrera, Jimenez and Ruggeri is used to study the evolution of general relativistic spheres in the free streaming radiation approximation, when specific contraction schemes are imposed and for particular oscillatory radiation profiles. On one hand, the emerging radiation is studied for oscillating contracting spheres, on the other, the variation of the boundary surface is analyzed when a pulsating profile is provided. We consider three particular equations of state previously studied. It is found that the oscillatory frequency of the surface for the equations of state considered coincides with the frequency of the oscillation for the radiation profile.
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