Abstract This Living Review updates a previous version [25] which is itself an update of a
review article [31]. Numerical exploration of the properties of singularities could, in principle …

We present a general framework for analyzing spatially inhomogeneous cosmological
dynamics. It employs Hubble-normalized scale-invariant variables which are defined within …

We present numerical relativity simulations of cosmological scenarios in which the universe
is smoothed and flattened by undergoing a phase of slow contraction and test their …

We construct general anisotropic cosmological scenarios governed by an f (R) gravitational
sector. Focusing then on Kantowski–Sachs geometries in the case of R n-gravity, and …

Abstract solutions of the Einstein vacuum equations toward a generic spacelike singularity.
Starting from fundamental assumptions about the nature of generic spacelike singularities …

This is a review of recent progress concerning generic spacelike singularities in general
relativity. For brevity the main focus is on singularities in vacuum spacetimes, although the …

We produce numerical evidence that spikes in the mixmaster regime of G 2 cosmologies are
transient and recurring, supporting the conjecture that the generalized mixmaster behavior is …

This article is the first of two in which we develop a geometric framework for analysing silent
and anisotropic big bang singularities. The results of the present article concern the …

According to Belinskiǐ, Khalatnikov and Lifshitz (BKL), a generic spacelike singularity is
characterized by asymptotic locality: Asymptotically, toward the singularity, each spatial point …

By applying a standard solution-generating transformation to an arbitrary vacuum Bianchi
type II solution, one generates a new solution with spikes commonly observed in numerical …