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We analyze the problem of gravitational collapse considering the matching ofan exterior region described by the Vaidya's metric and an interior regiondescribed by a spherically symmetric shear-free inhomogeneous geometry sourcedby a viscous fluid. We establish initial and final conditions for the processin order that the outcome be a non-singular object, when this is possible, andcheck how it depends on the fulfillment of the energy conditions. We then applyexplicitly the matching procedure to the cases of linear and nonlinearLagrangians describing electromagnetic fields inside the star, and analyze howthe different behaviors for the scale factor of the interior geometry producesingular or nonsingular final stages of the collapse depending on the rangewhere the initial conditions lie.

Radiating Spherical Collapse for an Inhomogeneous Interior Solution