Radiating spherical collapse for an inhomogeneous interior solution
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We analyse the problem of gravitational collapse considering the matching of an exterior region described by the Vaidya’s metric and an interior region described by a spherically symmetric shear-free inhomogeneous geometry sourced by a viscous fluid. We establish initial and final conditions for the process in order that the outcome be a nonsingular object, when this is possible, and check how it depends on the fulfillment of the energy conditions. We then apply explicitly the matching procedure to the cases of linear and nonlinear Lagrangians describing electromagnetic fields inside the star, and analyse how the different behaviours for the scale factor of the interior geometry produce singular or nonsingular final stages of the collapse depending on the range where the initial conditions lie.
KeywordsGravitational collapse Inhomogeneous models Viscous fluids
The authors are in debt with R. Klippert for his valuable comments on this manuscript. GBS would like to thank the PCI program at the Brazilian Center for Research in Physics–CBPF, where part of this work was developed, for financial support. VPF thanks FAPERJ for the Grant E-26/200.279/2015.
- 31.Bittencourt, E., Freitas, V.P., Salim, J.M., Santos, G.B.: Nonsingular gravitational collapse: two-fluid approach (in preparation)Google Scholar