Numerical Approaches to Spacetime Singularities

TL;DR

This review discusses numerical methods used to explore spacetime singularities, including their formation, behavior, and properties in various cosmological models, aiming to deepen understanding of their physical nature.

Contribution

It provides an updated overview of numerical techniques applied to study different types of singularities in general relativity, highlighting recent advances and specific case studies.

Findings

Numerical simulations reveal detailed structures of naked singularities.

Critical collapse exhibits universal behavior in numerical models.

Chaos near the Mixmaster singularity can be characterized through computational approaches.

Abstract

This Living Review updates a previous version which its itself an update of a review article. Numerical exploration of the properties of singularities could, in principle, yield detailed understanding of their nature in physically realistic cases. Examples of numerical investigations into the formation of naked singularities, critical behavior in collapse, passage through the Cauchy horizon, chaos of the Mixmaster singularity, and singularities in spatially inhomogeneous cosmologies are discussed.