On solutions of the vacuum Einstein equation in the radiation regime

TL;DR

This paper reviews recent work on the existence and properties of vacuum solutions to Einstein's equations that exhibit specific asymptotic behavior at null infinity, advancing understanding of spacetime structure in the radiation regime.

Contribution

It presents new results on the existence and asymptotic properties of vacuum Einstein solutions in the radiation regime, with controlled behavior at null infinity.

Findings

Existence of vacuum solutions with prescribed asymptotics

Characterization of spacetime behavior at null infinity

Advancement in understanding gravitational radiation

Abstract

We review recent results by the author, in collaboration with Erwann Delay, Olivier Lengard, and Rafe Mazzeo, on existence and properties of space-times with controlled asymptotic behavior at null infinity.