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Journal Article

Modelling black holes with angular momentum in loop quantum gravity

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Pranzetti,  Daniele
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1212.5166
(Preprint), 235KB

GRG1828-6.pdf
(Any fulltext), 252KB

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Citation

Frodden, E., Perez, A., Pranzetti, D., & Roeken, C. (2014). Modelling black holes with angular momentum in loop quantum gravity. General Relativity and Gravitation, 46: 1828. doi:10.1007/s10714-014-1828-6.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000E-EE79-E
Abstract
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.