Modelling black holes with angular momentum in loop quantum gravity

Understand

We construct a SU(2) connection formulation of Kerr isolated horizons.

• As in the non-rotating case, the model is based on a SU(2) Chern-Simons theory describing the degrees of freedom on the horizon.
• The presence of a non-vanishing angular momentum modifies the admissibility conditions for spin network states.
• Physical states of the system are in correspondence with open intertwiners with total spin matching the angular momentum of the spacetime.