The Bianchi type $\mathrm {VI} _ {-1/9} $, $\mathrm {VIII} $ and $\mathrm {IX} $ vacuum
models all have 4-dimensional Hubble-normalized state spaces and are expected to have a …

The nature of generic spacelike singularities in general relativity is connected with first
principles, notably Lorentzian causal structure, scale invariance and general covariance. To …

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 …

Abstract The Bianchi type VI-1/9, VIII and IX vacuum models all have 4-dimensional Hubble-
normalized state spaces and are expected to have a generic initial oscillatory singularity, but …