The isometry groups of asymptotically flat, asymptotically empty space-times with timelike ADM four-momentum

TL;DR

This paper classifies all connected isometry groups and their actions at infinity in asymptotically flat, vacuum space-times with timelike ADM four-momentum, advancing understanding of their symmetry structures.

Contribution

It provides a complete classification of isometry groups and their asymptotic actions in a specific class of space-times, filling a gap in geometric analysis.

Findings

Identifies all possible connected isometry groups in the setting.

Describes the asymptotic actions of these groups.

Clarifies the structure of symmetries in asymptotically flat vacuum space-times.

Abstract

We give a complete classification of all connected isometry groups, together with their actions in the asymptotic region, in asymptotically flat, asymptotically vacuum space--times with timelike ADM four--momentum.