Analytical Komar charges of the swirling black ring

Derive analytical expressions for the horizon Komar mass and angular momentum of the regular swirling black ring.

Background

The paper defines the local mass and angular momentum of the swirling black ring through Komar integrals evaluated on the event horizon. Because the metric functions are complicated and the regularity parameter $\lambda_c$ is itself determined implicitly, the authors evaluate these charges numerically.

Closed-form expressions would permit an analytical study of the mass-angular-momentum relation, the uniqueness properties, and the thermodynamics of the swirling black ring.