Chern-Simons dilaton black holes in 2+1 dimensions

TL;DR

This paper constructs rotating magnetic black hole solutions in three-dimensional Einstein-Maxwell-Chern-Simons-dilaton theory, revealing new classes of black holes with distinct properties and connections to higher-dimensional solutions.

Contribution

It introduces a new family of rotating magnetic black hole solutions in 3D with a Liouville potential, including sectors with positive and negative mass, and links to 5D solutions.

Findings

Black hole solutions generalize warped AdS black holes.

Existence of sectors with positive and negative mass.

Some solutions uplift to five-dimensional Einstein-Maxwell-Chern-Simons solutions.

Abstract

We construct rotating magnetic solutions to the three-dimensional Einstein-Maxwell-Chern-Simons-dilaton theory with a Liouville potential. These include a class of black hole solutions which generalize the warped AdS black holes. The regular black holes belong to two disjoint sectors. The first sector includes black holes which have a positive mass and are co-rotating, while the black holes of the second sector have a negative mass and are counter-rotating. We also show that a particular, non-black hole, subfamily of our three-dimensional solutions may be uplifted to new regular non-asymptotically flat solutions of five-dimensional Einstein-Maxwell-Chern-Simons theory.