The many ways of the characteristic Cauchy problem

TL;DR

This paper reviews different aspects of the characteristic initial value problem for Einstein's equations, introducing new approaches to address some of the challenges involved in solving these equations.

Contribution

It provides a comprehensive review and introduces novel methods for tackling the characteristic Cauchy problem in general relativity.

Findings

New approaches to characteristic initial value problem

Enhanced understanding of Einstein equations

Potential improvements in solving Einstein equations

Abstract

We review various aspects of the characteristic initial value problem for the Einstein equations, presenting new approaches to some of the issues arising.