Chiral black hole in three-dimensional gravitational Chern-Simons

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.

6 pages, a reference added, minor changes to introduction

References in corpus (4)

• Semi-classical central charge in topologically massive gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Topologically Massive AdS Gravity
• Thermodynamics of warped AdS${}_3$ black hole in the brick wall method

Cited by in corpus (1)

• Chiral Gravity, Log Gravity and Extremal CFT