Papers › Periodic orbits in Hořava-Lifshitz cosmologies
Periodic orbits in Hořava-Lifshitz cosmologies
Kevin E. M. Church, Olivier Hénot, Phillipo Lappicy, Jean-Philippe Lessard, Hauke Sprink
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We consider spatially homogeneous Ho\v{r}ava-Lifshitz (HL) models that perturb General Relativity (GR) by a parameter v∈(0,1) such that GR occurs at v=1/2. We describe the dynamics for the extremal case v=0, which possess the usual Bianchi hierarchy: type I (Kasner circle of equilibria), type II (heteroclinics that induce the Kasner map) and type VI₀,VII₀ (further heteroclinics). For type VIII and IX, we use a computer-assisted approach to prove the existence of periodic orbits which are far from the Mixmaster attractor and thereby we obtain a new behaviour which is not described by the BKL picture of bouncing Kasner-like states.
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