On acceleration in three dimensions

Abstract

Abstract We go “back to basics”, studying accelerating systems in 2 + 1 AdS gravity 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.

Keywords

• AdS-CFT Correspondence
• Black Holes
• Gauge-Gravity Correspondence