Jul 5 – 10, 2021
Europe/Rome timezone

Bifurcations and Chaos in Ho\v{r}ava-Lifshitz Cosmology

Jul 6, 2021, 10:45 AM
Talk in the parallel session Horava-Lifshitz Gravity Hořava–Lifshitz Gravity


Phillipo Lappicy


The nature of generic spacelike singularities in general relativity is connected with first principles, notably Lorentzian causal structure, scale invariance and general covariance. To bring a new perspective on how these principles affect generic spacelike singularities, we consider the initial singularity in spatially homogeneous Bianchi type VIII and IX vacuum models in Ho\v{r}ava-Lifshitz gravity, where relativistic first principles are replaced with anisotropic scalings of Lifshitz type. Within this class of models, General Relativity is shown to be a bifurcation where chaos becomes generic. To describe the chaotic features of generic singularities in Ho\v{r}ava-Lifshitz cosmology, we introduce symbolic dynamics within Cantor sets and iterated function systems. See https://arxiv.org/abs/2012.07614

Primary authors

Dr Juliette Hell (Freie Universität Berlin) Phillipo Lappicy Prof. Claes Uggla (Karlstad University)

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