Solutions of the vacuum Einstein equations with initial data on past null infinity

TL;DR

This paper proves the existence of vacuum space-times with customizable initial data specified on past null infinity, advancing the understanding of solutions to Einstein's equations in general relativity.

Contribution

It establishes the existence of vacuum solutions to Einstein's equations with freely prescribable initial data on past null infinity, a significant theoretical development.

Findings

Existence of vacuum space-times with prescribed data on past null infinity

Construction of solutions with cone-smooth initial data

Advancement in mathematical understanding of Einstein's equations

Abstract

We prove existence of vacuum space-times with freely prescribable cone-smooth initial data on past null infinity.