{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/periodic-orbits-in-horava-lifshitz","title":"Periodic orbits in Hořava-Lifshitz cosmologies","arxiv_id":"2203.03763","date":"2022-03-07","proceeding":null,"authors":["Kevin E. M. Church","Olivier Hénot","Phillipo Lappicy","Jean-Philippe Lessard","Hauke Sprink"],"abstract":"We consider spatially homogeneous Ho\\v{r}ava-Lifshitz (HL) models that perturb General Relativity (GR) by a parameter $v\\in (0,1)$ 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 $\\mathrm{I}$ (Kasner circle of equilibria), type $\\mathrm{II}$ (heteroclinics that induce the Kasner map) and type $\\mathrm{VI_0},\\mathrm{VII_0}$ (further heteroclinics). For type $\\mathrm{VIII}$ and $\\mathrm{IX}$, 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.","url_abs":"https://arxiv.org/abs/2203.03763v2","url_pdf":"https://arxiv.org/pdf/2203.03763v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"periodic-orbits-in-horava-lifshitz","repo_url":"https://github.com/olivierhnt/hlperiodicorbits_viii_ix.jl","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}