Gravitational radiation of accelerated sources

TL;DR

This paper analyzes gravitational radiation emitted by an accelerating source using the C metric in teleparallel gravity, providing a simple expression for the radiation observed far from horizons.

Contribution

It introduces a novel approach to calculating gravitational radiation from accelerated sources via the C metric in teleparallel gravity.

Findings

Derived a simple formula for gravitational radiation at large distances.

Connected the radiation characteristics to the properties of the C metric.

Discussed the nature of accelerated motion in gravitational contexts.

Abstract

We investigate the gravitational radiation produced by a linearly accelerated source in general relativity. The investigation is performed by studying the vacuum C metric, which is interpreted as representing the exterior space-time of an uniformly accelerating spherically symmetric gravitational source, and is carried out in the context of the teleparallel equivalent of general relativity. For an observer sufficiently far from both the (modified) Schwarzschild and Rindler horizons, which is a realistic situation, we obtain a simple expression for the total emitted gravitational radiation. We also briefly discuss on the absolute or relative character of the accelerated motion.