# On the global regularity for a Wave-Klein-Gordon coupled system

## TL;DR

This paper proves global regularity and modified scattering for a 3D coupled Wave-Klein-Gordon system with small initial data, contributing to understanding the stability of Minkowski space-time in general relativity.

## Contribution

It establishes the first rigorous proof of global regularity and scattering for this coupled system, modeling the stability of Minkowski space with massive fields.

## Key findings

- Global regularity for small initial data
- Modified scattering behavior demonstrated
- Relevance to stability of Minkowski space in GR

## Abstract

We consider a coupled Wave-Klein-Gordon system in 3D, and prove global regularity and modified scattering for small and smooth initial data with suitable decay at infinity. This system was derived by Wang and LeFloch-Ma as a simplified model for the global nonlinear stability of the Minkowski space-time for self-gravitating massive fields.