A self-similar dynamics in viscous spheres
General Relativity and Quantum Cosmology
2015-06-25 v1
Abstract
We study the evolution of radiating and viscous fluid spheres assuming an additional homothetic symmetry on the spherically simmetric space--time. We match a very simple solution to the symmetry equations with the exterior one (Vaidya). We then obtain a system of two ordinary differential equations which rule the dynamics, and find a self--similar collapse which is shear--free and with a barotropic equation of state. Considering a huge set of initial self--similar dynamics states, we work out a model with an acceptable physical behavior.
Cite
@article{arxiv.gr-qc/0508056,
title = {A self-similar dynamics in viscous spheres},
author = {W. Barreto and J. Ovalle and B. Rodriguez},
journal= {arXiv preprint arXiv:gr-qc/0508056},
year = {2015}
}
Comments
15 pages, 4 figures