Nonlinear Shear-free Radiative Collapse

Details Nonlinear Shear-free Radiative Collapse Nonlinear Shear-free Radiative Collapse

2008-08-15

arxiv.org/abs/0808.2100v1

Math.MethodsAppl.Sci.31:363-374,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, To appear in Math. Meth. Appl. Sci

Scientific paper

10.1002/mma.917

We study realistic models of relativistic radiating stars undergoing gravitational collapse which have vanishing Weyl tensor components. Previous investigations are generalised 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 are generated all of which can be written explicitly. Several classes of infinite solutions exist.

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