Stirring a black hole

Abstract

We present novel asymptotically global AdS${}_4$ solutions, constructed by turning on a dipolar differential rotation at the conformal boundary. At fixed energy and boundary profile, we find two different geometries: a horizonless spacetime, and a deformed, hourglass shaped black hole with zero net angular momentum. Both solutions exist up to some maximum amplitudes of the boundary profile, and develop an ergoregion attached to the boundary before the maximum amplitude is reached. We show that both spacetimes develop hair as soon as the ergoregion develops. Furthermore, we discuss the full phase diagram, including the possibility of phases with disconnected horizons, by considering the Mathisson-Papapetrou equations for a spinning test particle. Finally, we provide a first principle derivation of the superradiant bound purely from CFT data, and outline possible scenarios for the late time evolution of the system.

40 pages, 24 figures

References in corpus (3)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Singularity development and supersymmetry in holography

Cited by in corpus (10)

• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• Further evidence for the weak gravity -- cosmic censorship connection
• Rotating Hairy Black Holes in AdS${}_5\times$S${}^5$
• Creating a Traversable Wormhole
• Aspects of Holography of Taub-NUT-AdS4
• Deforming black holes in AdS
• Attempts at vacuum counterexamples to cosmic censorship in AdS
• Deforming black holes with even multipolar differential rotation boundary
• Deforming black holes with odd multipolar differential rotation boundary
• Deforming charged black holes with dipolar differential rotation boundary