Shear Viscosity in the Post-quasistatic Approximation
Abstract
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.
Cite
@article{arxiv.1003.1825,
title = {Shear Viscosity in the Post-quasistatic Approximation},
author = {C. Peralta and L. Rosales and B. Rodrí guez-Mueller and W. Barreto},
journal= {arXiv preprint arXiv:1003.1825},
year = {2010}
}
Comments
12 pages, 18 Figures. To appear in Phys. Rev. D