Classical limits of boost-rotation symmetric spacetimes

TL;DR

This paper explores the classical and special-relativistic limits of boost-rotation symmetric spacetimes, revealing their connection to Newtonian physics and electromagnetic fields, and highlighting their unique role in modeling accelerating sources.

Contribution

It constructs the Newtonian limit of boost-rotation symmetric spacetimes and analyzes the special-relativistic limit of the charged rotating C-metric, introducing an accelerating electromagnetic magic field.

Findings

Newtonian fields of uniformly accelerated sources derived

Special-relativistic limit yields accelerating electromagnetic magic field

Boost-rotation symmetric spacetimes uniquely describe accelerating, radiating sources

Abstract

Boost-rotation symmetric spacetimes are exceptional as they are the only exact asymptotically flat solutions to the Einstein equations describing spatially bounded sources ("point-like" particles, black holes) undergoing non-trivial motion ("uniform acceleration") with radiation. We construct the Newtonian limit of these spacetimes: it yields fields of uniformly accelerated sources in classical mechanics. We also study the special-relativistic limit of the charged rotating C-metric and so find accelerating electromagnetic magic field.