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Black hole entropy from an SU(2)-invariant formulation of Type I isolated horizons

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arxiv 1006.0634 v1 pith:HQDZHZXR submitted 2010-06-03 gr-qc hep-th

Black hole entropy from an SU(2)-invariant formulation of Type I isolated horizons

classification gr-qc hep-th
keywords formulationhorizonentropyinvariantisolatedquantumsystemtheory
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A detailed analysis of the spherically symmetric isolated horizon system is performed in terms of the connection formulation of general relativity. The system is shown to admit a manifestly SU(2) invariant formulation where the (effective) horizon degrees of freedom are described by an SU(2) Chern-Simons theory. This leads to a more transparent description of the quantum theory in the context of loop quantum gravity and modifications of the form of the horizon entropy.

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