Spherically symmetric Einstein-scalar-field equations for slowly particle-like decaying null infinity

TL;DR

This paper proves the existence and uniqueness of global solutions for the spherically symmetric Einstein-scalar-field equations with small, slowly decaying initial data at null infinity, advancing understanding of such spacetime models.

Contribution

It establishes the global well-posedness of Einstein-scalar-field equations under specific decay conditions at null infinity, a novel result in this context.

Findings

Unique global solutions exist for small, slowly decaying initial data.

The solutions demonstrate stability under the specified decay conditions.

The work advances the mathematical understanding of Einstein-scalar-field dynamics.

Abstract

We show that the spherically symmetric Einstein-scalar-field equations for small slowly particle-like decaying initial data at null infinity have unique global solutions.