Black Holes in Higher-Dimensional Gravity

TL;DR

This paper reviews recent advances in understanding the phase structure of higher-dimensional black holes, focusing on Kaluza-Klein black holes and rotating solutions, highlighting new configurations and their interrelations.

Contribution

It presents new insights into the phase diagrams of higher-dimensional black holes, including multi-black hole solutions and rotating black rings, revealing connections between different classes.

Findings

Construction of multi-black hole configurations on the cylinder

Discovery of thin rotating black rings in dimensions >5

Identification of phase structure connections between Kaluza-Klein and asymptotically flat black holes

Abstract

These lectures review some of the recent progress in uncovering the phase structure of black hole solutions in higher-dimensional vacuum Einstein gravity. The two classes on which we focus are Kaluza-Klein black holes, i.e. static solutions with an event horizon in asymptotically flat spaces with compact directions, and stationary solutions with an event horizon in asymptotically flat space. Highlights include the recently constructed multi-black hole configurations on the cylinder and thin rotating black rings in dimensions higher than five. The phase diagram that is emerging for each of the two classes will be discussed, including an intriguing connection that relates the phase structure of Kaluza-Klein black holes with that of asymptotically flat rotating black holes.