Variations on spacetimes with boost-rotation symmetry

TL;DR

This paper explores advanced properties of boost-rotation symmetric spacetimes, focusing on limits, singularity removal, and black hole behavior in electromagnetic fields, contributing new insights into their structure and physical implications.

Contribution

It introduces a simplified form of the rotating charged C-metric and demonstrates methods to eliminate nodal singularities and model black holes in external fields.

Findings

Analysis of Newtonian limit using Ehlers frame theory

Special-relativistic limit of the C-metric examined

Method to remove nodal singularities from the metric

Abstract

Some new results on the boost-rotation symmetric spacetimes representing pairs of rotating charged objects accelerated in opposite directions are summarized. A particular attention is paid to (a) the Newtonian limit analyzed using the Ehlers frame theory and (b) the special-relativistic limit of the C-metric. Starting from the new, simpler form of the rotating charged C-metric we also show how to remove nodal singularities and obtain a rotating charged black hole freely falling in an external electromagnetic field.