Dynamics of Bianchi type I elastic spacetimes

Author(s)

Simone Calogero, Johannes Markus Heinzle

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 the energy condition violation as the

singularity is approached.

Organisation(s)

Gravitational Physics

External organisation(s)

University of Minho

Journal

Classical and Quantum Gravity

Volume

Pages

5173-5199

No. of pages

ISSN

0264-9381

DOI

https://doi.org/10.1088/0264-9381/24/20/016

Publication date

2007

Peer reviewed

Yes

Austrian Fields of Science 2012

103028 Theory of relativity

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