2 research outputs found
Periodic orbits in Hořava–Lifshitz cosmologies
We consider spatially homogeneous Hořava–Lifshitz 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. Therefore we obtain a new behaviour which is not described by the BKL picture of bouncing Kasner-like states
Periodic orbits in Ho\v{r}ava-Lifshitz cosmologies
We consider spatially homogeneous Ho\v{r}ava-Lifshitz (HL) models that
perturb General Relativity (GR) by a parameter such that GR occurs
at . We describe the dynamics for the extremal case , which possess
the usual Bianchi hierarchy: type I (Kasner circle of equilibria), type II
(heteroclinics that induce the Kasner map) and type
(further heteroclinics). For type VIII and IX,
we prove the existence of periodic orbits which are far from the Mixmaster
attractor, and thereby yield a new behaviour which is not described by the BKL
picture.Comment: 19 pages, 7 figure