Caustics type of gravitational singularities

TL;DR

This paper introduces a novel class of gravitational singularities characterized as caustics of spacetime foliations, supported by an example involving gravitational waves forming such caustic singularities.

Contribution

It presents the concept of caustic-type gravitational singularities and provides an explicit example involving gravitational wave solutions.

Findings

Identification of caustic singularities in gravitational fields

Explicit example with gravitational wave forming caustics

New perspective on gravitational singularity types

Abstract

We describe a new type of gravitational singularities which are caustics of spatial-temporal foliations. An example of gravitational wave solution forming a singularity with caustics is given.