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 I...

Full description

Saved in:
Bibliographic Details
Published in:General relativity and gravitation 2023, Vol.55 (1), Article 2
Main Authors: Church, Kevin E. M., Hénot, Olivier, Lappicy, Phillipo, Lessard, Jean-Philippe, Sprink, Hauke
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Differential Geometry
Gravity
Mathematical and Computational Physics
Orbits
Physics
Physics and Astronomy
Quantum Physics
Relativity
Relativity Theory
Research Article
Theoretical
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 VI 0 , VII 0 (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.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-022-03054-8