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Nonlinear shear-free radiative collapse. (English) Zbl 1255.83038
Summary: 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.

MSC:
83C15Closed form solutions of equations in general relativity
83C22Einstein-Maxwell equations
85A99Miscellaneous topics in astronomy and astrophysics
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