Lecture Event
SFB-Seminar and Plenary Meeting (Research Project C8)
2 Dec 2014, 14:00 – 18:00
Talk
Mixmaster map and chaos for extreme gravity
2 Dec 2014, 17:00 – 18:00
Under certain symmetry assumptions, Einstein equations reduce to an ODE system -- the Bianchi IX model -- which can be seen as the simplest model of the big bang singularity showing BKL chaotic dynamics. By breaking some symmetries, the degeneracy of the Taub points is repealed and eigenvalues change their signs one after the other along the Kasner circle. I will present the consequences of these perturbations on the dynamics of the mixmaster map. In the subcritical case, the Taub points are replaced by stable arcs where generic heteroclinic chains end up, while chaos is contained in a nongeneric dustlike Cantor set only. From this point of view, general relativity can be seen as a bifurcation situation where generic chaos is born.
This work in progress is in collaboration with Claes Uggla (U. Karlstad, Sweden, Departement of Physics).
Homepage Dr. Juliette Hell: http://dynamics.mi.fu-berlin.de/persons/hell.php
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