Modelling black holes with angular momentum in loop quantum gravity

Ernesto Frodden (1) , Alejandro Perez (1) , Daniele Pranzetti (1) , Christian Röken (1)

1 CPT - Centre de Physique Théorique - UMR 7332

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.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

Ernesto Frodden, Alejandro Perez, Daniele Pranzetti, Christian Röken. Modelling black holes with angular momentum in loop quantum gravity. General Relativity and Gravitation, 2014, 46 (12), ⟨10.1007/s10714-014-1828-6⟩. ⟨hal-00957631⟩