SQG2 - Loop Quantum Gravity, Quantum Geometry, Spin Foams |
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Speaker |
Villaseñor, Eduardo J S |
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Co-autors |
Fernando Barbero, Jerzy Lewandowski |
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Talk Title |
Flux-area operator and black hole entropy in loop quantum gravity |
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Abstract |
The ABCK approach to the computation of black hole entropy in loop quantum gravity is based on a non-perturbative quantization derived from a Hamiltonian formulation of general relativity on a 3-manifold with a spherical inner boundary. We show that the extra, non-dynamical, structure provided by this inner boundary allows us to define a natural area operator different from the standard one used in LQG. This flux-area operator has a discrete spectrum with equidistant eigenvalues coinciding with the prequantized areas of the Chern-Simons theory used to model the horizon quantum degrees of freedom. The matching between the horizon Chern-Simons theory and the bulk quantum geometry is arguably more natural with the new choice of area operator. We discuss the consequences of this substitution in the ABCK definition of the black hole entropy and obtain closed, and rather simple, expressions for it. Finally we look at the compatibility of our results with the Bekenstein-Hawking area law and show how the link with quasinormal modes can be restored while still using SU(2) as the internal symmetry group. |
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