Chaos in spatially homogeneous Hořava-Lifshitz subcritical cosmologies

Abstract

We consider spatially homogeneous models in Hořava-Lifshitz (HL) gravity that perturbs General Relativity (GR) by a parameter $v\in (0,1)$ such that GR occurs at $v=1/2$. We prove that the induced Kasner map is chaotic for a broad class of modified HL gravity models, when $v\in (0,1/2)$, despite the fact that the Kasner map is multivalued in such subcritical regime.

18 pages, 6 figures. arXiv admin note: text overlap with arXiv:2012.07614

References in corpus (8)

• Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Horava-Lifshitz gravity: a status report
• Mixmaster: Fact and Belief
• A new proof of the Bianchi type IX attractor theorem
• Ancient Dynamics in Bianchi Models: Approach to Periodic Cycles
• More on "Little Lambda" in Hořava-Lifshitz Gravity
• Bianchi VIII and IX vacuum cosmologies: Almost every solution forms particle horizons and converges to the Mixmaster attractor

Cited by in corpus (1)

• Periodic orbits in Hořava-Lifshitz cosmologies