Asymptotic twistor Theory and the Kerr Theorem

TL;DR

This paper reviews asymptotic twistor theory and introduces an asymptotic Kerr theorem that generates shear-free null geodesic congruences in asymptotically flat spacetimes, advancing understanding of spacetime structures.

Contribution

It presents an asymptotic version of the Kerr theorem for constructing shear-free null congruences in asymptotically flat Einstein or Einstein-Maxwell spacetimes, extending classical results.

Findings

Describes the structure of asymptotic twistor space.

Develops an asymptotic Kerr theorem for null congruences.

Provides a framework for analyzing spacetime asymptotics.

Abstract

We first review asymptotic twistor theory with its real subspace of null asymptotic twistors. This is followed by a description of an asymptotic version of the Kerr theorem that produces regular asymptotically shear free null geodesic congruences in arbitrary asymptotically flat Einstein or Einstein-Maxwell spacetimes.