On Acceleration in Three Dimensions

TL;DR

This paper explores three-dimensional accelerating geometries in AdS gravity, introducing new solutions like an accelerating BTZ-like black hole and black funnel configurations, enriching the understanding of holographic acceleration.

Contribution

It provides a comprehensive classification of accelerating geometries in 2+1 AdS gravity and constructs novel solutions including an accelerating BTZ-like black hole.

Findings

Identified three classes of accelerating geometries in 2+1 AdS gravity.

Constructed stationary accelerating point particles and black hole extensions.

Discovered new solutions such as an accelerating BTZ geometry and black funnels.

Abstract

We go "back to basics", studying accelerating systems in $2+1$ AdS gravity \textit{ab initio}. We find three classes of geometry, which we interpret by studying holographically their physical parameters. From these, we construct stationary, accelerating point particles; one-parameter extensions of the BTZ family resembling an accelerating black hole; and find new solutions including a novel accelerating "BTZ geometry" not continuously connected to the BTZ black hole as well as some black funnel solutions.