Three-dimensional Chern-Simons black holes

TL;DR

This paper constructs and analyzes rotating black hole solutions in three-dimensional Einstein-Maxwell theory with Chern-Simons terms, revealing their thermodynamic properties, symmetries, and causal regularity within specific parameter ranges.

Contribution

It introduces new rotating black hole solutions with Chern-Simons terms in 3D gravity, detailing their geometric, thermodynamic, and symmetry properties.

Findings

Solutions are geodesically complete and causally regular within certain parameters.

Black hole thermodynamics satisfy the first law.

Solutions exhibit a four-parameter local isometry algebra.

Abstract

We construct black hole solutions to three-dimensional Einstein-Maxwell theory with both gravitational and electromagnetic Chern-Simons terms. These intrinsically rotating solutions are geodesically complete, and causally regular within a certain parameter range. Their mass, angular momentum and entropy are found to satisfy the first law of black hole thermodynamics. These Chern-Simons black holes admit a four-parameter local isometry algebra, which generically is $sl(2,R)\times R$, and may be generated from the corresponding vacua by local coordinate transformations.