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Dynamics of Bianchi type I elastic spacetimes

Autor(en)

Simone Calogero, Johannes Markus Heinzle

Abstrakt

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(en)

Gravitationsphysik

Externe Organisation(en)

Universidade do Minho

Journal

Classical and Quantum Gravity

Band

Seiten

5173-5199

Anzahl der Seiten

ISSN

0264-9381

DOI

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

Publikationsdatum

2007

Peer-reviewed

ÖFOS 2012

103028 Relativitätstheorie

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