Bel-Robinson energy and the nature of singularities in isotropic cosmologies

TL;DR

This paper reviews how Bel-Robinson energy helps classify finite-time singularities in isotropic cosmologies, linking energy divergence to trapped surfaces and geodesic completeness.

Contribution

It introduces a novel classification scheme for cosmological singularities based on Bel-Robinson energy analysis.

Findings

Bel-Robinson energy divergence indicates singularities

Relation between Bel-Robinson energy and trapped surfaces

Connection between energy divergence and geodesic incompleteness

Abstract

We review our recent work on the classification of finite time singularities that arise in isotropic universes. This scheme is based on the exploitation of the Bel Robinson energy in a cosmological setting. We comment on the relation between geodesic completeness and the Bel Robinson energy and present evidence that relates the divergence of the latter to the existence of closed trapped surfaces.