Asymptotically Flat Initial Data with Prescribed Regularity at Infinity

TL;DR

This paper proves the existence of a broad class of asymptotically flat initial data in general relativity, with specific asymptotic expansions at infinity, including non-zero mass and angular momentum.

Contribution

It establishes the existence of initial data with prescribed regularity and asymptotic behavior at infinity, expanding the set of known solutions in gravitational physics.

Findings

Existence of initial data with non-zero mass and angular momentum.

Asymptotic expansions of metric and extrinsic curvature at space-like infinity.

Large class of solutions with prescribed regularity at infinity.

Abstract

We prove the existence of a large class of asymptotically flat initial data with non-vanishing mass and angular momentum for which the metric and the extrinsic curvature have asymptotic expansions at space-like infinity in terms of powers of a radial coordinate.