On the spinning C-metric

TL;DR

This paper explores the physical interpretation of various regions in the spinning C-metric, representing different parts of an accelerated Kerr black hole, and studies the stability of geodesics in such spacetimes.

Contribution

It provides a new physical interpretation of the stationary and non-stationary regions of the spinning C-metric and analyzes geodesic stability in these contexts.

Findings

Different spacetime regions of the spinning C-metric are physically characterized.

Stability conditions for geodesics in stationary spacetimes with symmetries are derived.

Results are applied specifically to the case of the spinning C-metric.

Abstract

Physical interpretation of some stationary and non-stationary regions of the spinning C-metric is presented. They represent different spacetime regions of a uniformly accelerated Kerr black hole. Stability of geodesics corresponding to equilibrium points in a general stationary spacetime with an additional symmetry is also studied and results are then applied to the spinning C-metric.