Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-03-09
Phys.Rev.D81:104021,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, 18 Figures. To appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.81.104021
We apply the post-quasi--static approximation, an iterative method for the evolution of self-gravitating spheres of matter, to study the evolution of anisotropic non-adiabatic radiating and dissipative distributions in General Relativity. Dissipation is described by viscosity and free-streaming radiation, assuming an equation of state to model anisotropy induced by the shear viscosity. We match the interior solution, in non-comoving coordinates, with the Vaidya exterior solution. Two simple models are presented, based on the Schwarzschild and Tolman VI solutions, in the non--adiabatic and adiabatic limit. In both cases the eventual collapse or expansion of the distribution is mainly controlled by the anisotropy induced by the viscosity.
Barreto Willians
guez-Mueller Rodrí B.
Peralta Carlos
Rosales Luis
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