Global simulations of Minkowski space-time including space-like infinity

TL;DR

This paper explores the use of conformal field equations to perform global simulations of Minkowski space-time, including space-like infinity, by studying linearised gravitational fields.

Contribution

It introduces a conformal approach to simulate Minkowski space-time globally, including regions at infinity, which is a novel application of these equations.

Findings

Feasibility of global Minkowski simulations using conformal equations

Linearised gravitational fields can be effectively modeled at infinity

Potential for extending to full non-linear Einstein equations

Abstract

In this work, we study linearised gravitational fields on the entire Minkowski space-time including space-like infinity. The generalised conformal field equations linearised about a Minkowski background are utilised for this purpose. In principle, this conformal representation of Einstein's equations can be used to carry out global simulations of Minkowski space-time. We investigate thoroughly this possibility.