Dynamics of Bianchi type I elastic spacetimes

dc.creatorCalogero, Simone
dc.creatorHeinzle, J. Mark
dc.date2007-06-26
dc.date.accessioned2026-07-07T10:56:26Z
dc.date.available2026-07-07T10:56:26Z
dc.descriptionWe 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.
dc.description28 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/0706.3823
dc.identifierhttp://arxiv.org/abs/0706.3823
dc.identifierClass.Quant.Grav.24:5173-5200,2007
dc.identifierdoi:10.1088/0264-9381/24/20/016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186414
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleDynamics of Bianchi type I elastic spacetimes
dc.typetext

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