Dynamics of Bianchi type I elastic spacetimes
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
We study the global dynamical behavior of spatially homogeneous solutions of the Einstein equations in Bianchi type I symmetry, where we use non-tilted elastic matter as an anisotropic matter model that naturally generalizes perfect fluids. Based on our dynamical systems formulation of the equations we are able to prove that (i) toward the future all solutions isotropize; (ii) toward the initial singularity all solutions display oscillatory behavior; solutions do not converge to Kasner solutions but oscillate between different Kasner states. This behavior is associated with energy condition violation as the singularity is approached.
Keywords
Cite
@article{arxiv.0706.3823,
title = {Dynamics of Bianchi type I elastic spacetimes},
author = {Simone Calogero and J. Mark Heinzle},
journal= {arXiv preprint arXiv:0706.3823},
year = {2008}
}
Comments
28 pages, 11 figures