CHIRAL BLACK HOLE IN THREE-DIMENSIONAL GRAVITATIONAL CHERN–SIMONS

Abstract

A chiral black hole can be defined by 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 discuss three different entropies depending on the methods of Wald, Cardy and 't Hooft.