Rotating black holes and black bars at large D

Understand

We propose and demonstrate a new and efficient approach to investigate black hole dynamics in the limit of large number of dimensions $D$.

• The basic idea is that an asymptotically flat black brane evolving under the Gregory-Laflamme instability forms lumps that closely resemble a localized black hole.
• In this manner, the large-$D$ effective equations for extended black branes can be used to study localized black holes.
• We show that these equations have exact solutions for black-hole-like lumps on the brane, which correctly capture the main properties of Schwarzschild and Myers-Perry black holes at large $D$, including their slow quasinormal modes and the ultraspinning instabilities (axisymmetric or not) at large angular momenta.