4 problems

Consider LRS Bianchi III Einstein–Klein–Gordon solutions evolved asymptotically into the past. The Bianchi I boundary consists of solutions with vanishing Bianchi III curvature con…

Consider the HL Bianchi models with parameter $1/2<v<1$, whose Kasner circle has stable arcs where heteroclinic chains terminate. HL analogue of the BKL conjecture. The asymptotic…

Let $I$ be the Mixmaster integral … For initial conditions $N_j(0)$ and $\Sigma_{\pm}(0)$ in the respective Bianchi class, BKL/Mixmaster conjecture. The integral is finite,…

Consider the dynamics of general relativity near a spacelike singularity, and fix a spatial point. Let Bianchi I cosmology denote the homogeneous anisotropic cosmological model use…