Gravitational wave scattering theory without large-distance asymptotics

TL;DR

This paper develops a gravitational wave scattering theory that does not rely on the traditional large-distance asymptotic approximation, potentially allowing for more accurate modeling at finite distances.

Contribution

It introduces a novel scattering theory for gravitational waves that avoids the large-distance asymptotic approximation used in conventional methods.

Findings

Provides a new framework for gravitational wave scattering without asymptotic assumptions

Potentially improves accuracy of gravitational wave modeling at finite distances

Lays groundwork for further theoretical and computational developments

Abstract

In conventional gravitational wave scattering theory, a large-distance asymptotic approximation is employed. In this approximation, the gravitational wave is approximated by its large-distance asymptotics. In this paper, we establish a gravitational wave scattering theory without the large-distance asymptotic approximation.