Spin-2 fields on Minkowski space near space-like and null infinity

TL;DR

This paper develops estimates for spin-2 fields on Minkowski space near space-like and null infinity, enabling detailed analysis of their asymptotic behavior for specific initial data.

Contribution

It introduces a method combining regular finite initial value problems and transport equations to analyze spin-2 fields near infinity.

Findings

Estimates for spin-2 fields near infinity

Behavior of solutions with specific initial data

Framework for analyzing asymptotic properties

Abstract

We show that the spin-2 equations on Minkowski space in the gauge of the `regular finite initial value problem at space-like infinity' imply estimates which, together with the transport equations on the cylinder at space-like infinity, allow us to obtain for a certain class of initial data information on the behaviour of the solution near space-like and null infinity of any desired precision.