BF theory explanation of the entropy for rotating isolated horizons

Abstract

In this paper, the isolated horizons (IHs) with rotation are considered. It is shown that the symplectic form is the same as that in the nonrotating case. As a result, the boundary degrees of freedom can be also described by an SO[Formula: see text] BF theory. The entropy of the rotating IH satisfies the Bekenstein–Hawking area law with the same Barbero–Immirzi parameter.