Chaos in spatially homogeneous Hořava–Lifshitz subcritical cosmologies

Abstract

Abstract We consider spatially homogeneous models in Hořava–Lifshitz (HL) gravity that perturbs general relativity (GR) by a parameter v ∈ (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 ∈ (0, 1/2), despite the fact that the Kasner map is multi-valued in such subcritical regime.