Chiral black hole in three-dimensional gravitational Chern-Simons

TL;DR

This paper explores a unique chiral black hole solution in three-dimensional gravity with Chern-Simons terms, analyzing its properties, angular momentum, entropy, and stability, revealing novel features of lower-dimensional black holes.

Contribution

It introduces a new chiral black hole solution in 3D gravitational Chern-Simons theory, highlighting its angular momentum and thermodynamic characteristics.

Findings

Black hole exhibits handedness of angular momentum depending on Chern-Simons coefficient sign.

Massless black hole still possesses non-zero angular momentum.

The study provides insights into the entropy and thermodynamic stability of the chiral black hole.

Abstract

A chiral black hole can be defined from the three-dimensional pure gravitational Chern-Simons action as an independent gravitational theory. The third order derivative of the Cotton tensor gives a dimensional constant which plays a role of the cosmological constant. The handedness of angular momentum depends on the signature of the Chern-Simons coefficient. Even in the massless black hole which corresponds to the static black hole, it has a nonvanishing angular momentum. We also study statistical entropy and thermodynamic stability.