Nonlinear evolution of the AdS$_4$ black hole bomb

TL;DR

This paper investigates the nonlinear development of superradiant instabilities in rotating AdS4 black holes by numerically solving Einstein's equations, revealing complex multi-stage dynamics and a unique solution with a single helical symmetry.

Contribution

It provides the first detailed numerical analysis of the nonlinear evolution of superradiant instabilities in AdS4 black holes, uncovering new multi-stage processes and a novel solution with a single helical Killing vector.

Findings

Evidence for a multi-stage superradiant instability process.

Identification of an epoch dominated by a solution with a single helical Killing vector.

Numerical confirmation of complex nonlinear dynamics in AdS4 black holes.

Abstract

The superradiant instability of rotating black holes with negative cosmological constant is studied by numerically solving the full 3+1-dimensional Einstein equations. We find evidence for an epoch dominated by a solution with a single helical Killing vector and a multi-stage process with distinct superradiant instabilities.