Asymptotic properties of the C-Metric

TL;DR

This paper investigates the asymptotic properties of the C-metric using a conformal approach, analyzing key quantities like the news function and Bondi mass aspect across various limits.

Contribution

It applies a general conformal method to analyze the asymptotic structure of the C-metric, providing new insights into its properties.

Findings

Computed the news function and Bondi mass aspect for the C-metric.

Analyzed the behavior in small mass, small acceleration, and Bondi time limits.

Provided a framework for studying asymptotic properties of similar spacetimes.

Abstract

The aim of this article is to analyze the asymptotic properties of the C-metric, using a general method specified in work of Tafel and coworkers, [1], [2], [3]. By finding an appropriate conformal factor $\Omega$, it allows the investigation of the asymptotic properties of a given asymptotically flat spacetime. The news function and Bondi mass aspect are computed, their general properties are analyzed, as well as the small mass, small acceleration, small and large Bondi time limits.