The radiation zone in general relativity

TL;DR

This paper explores the concept of the radiation zone in general relativity, addressing paradoxes related to gravitational radiation and the absence of man-made sources.

Contribution

It clarifies the radiation zone concept in general relativity and discusses its implications for gravitational radiation paradoxes.

Findings

The radiation zone concept helps resolve the paradox of static charges radiating in gravitational fields.

It explains why no man-made sources of gravitational radiation currently exist.

Addresses longstanding puzzles in gravitational wave theory.

Abstract

The radiation zone in electrodynamics is the region far enough away from the charges that the $1/r$ part of the field dominates over the $1/{r^2}$ piece. This concept is key in explaining two puzzling aspects of general relativity: The first is an old paradox that invokes the equivalence principle to argue that a static charge in a gravitational field will radiate. The second is the fact that while there are astrophysical sources of gravitational radiation, we do not have any man-made sources.