Nonlinear shear‐free radiative collapse |
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| Authors: | S. S. Misthry S. D. Maharaj P. G. L. Leach |
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| Affiliation: | Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu‐Natal, Private Bag X54001, Durban 4000, South Africa |
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| Abstract: | We study realistic models of relativistic radiating stars undergoing gravitational collapse which have vanishing Weyl tensor components. Previous investigations are generalized by retaining the inherent nonlinearity at the boundary. We transform the boundary condition to an Abel equation of the first kind. A variety of nonlinear solutions is generated all of which can be written explicitly. Several classes of infinite solutions exist. Copyright © 2007 John Wiley & Sons, Ltd. |
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| Keywords: | astrophysics Einstein equations radiating stars |
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