Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-06-26
Class.Quant.Grav.24:5173-5200,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
28 pages, 11 figures
Scientific paper
10.1088/0264-9381/24/20/016
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.
Calogero Simone
Heinzle Mark J.
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