Veranstaltung

Vortrag
Cosmological Models in the Big-Bang Limit
Dr. Stefan Liebscher
8.1.2013, 17:30 Uhr – 18:00 Uhr

We consider cosmological models of Bianchi type. They yield spatially homogeneous, anisotropic solutions of the Einstein field equations.
In particular, we are interested in the alpha-limit dynamics of the Bianchi model corresponding to the big-bang singular limit of the Einstein equations.

Emphasis is on transient behaviour of solutions near the (backward) Bianchi attractor composed of the Kasner circle of equilibria and attached heteroclinic connections. The heteroclinic orbits in the Bianchi attractor form formal sequences of shift type.

We prove the existence of unstable manifolds to heteroclinic sequences.
This relates alpha-limit transients of cosmologies of Bianchi type to formal sequences of Kasner heteroclinics.

Results on Bianchi VIII+IX models with perfect fluid are joint work with J.Härterich, K.Webster, M.Georgi; results on Bianchi VI_0 models with magnetic field are joint work with A.Rendall, B.Tchapnda.

Verknüpft mit:

• Stefan Liebscher
• [C8] Mathematical Physics: Dynamics and Nonlinear Evolution Equations in General Relativity