Black hole entropy from the SU(2)-invariant formulation of type I isolated horizons

Jonathan Engle (1) , Karim Noui (2, 3) , Alejandro Perez (4) , Daniele Pranzetti (4)

1 Department of Physics
2 LMPT - Laboratoire de Mathématiques et Physique Théorique
3 APC (UMR_7164) - AstroParticule et Cosmologie
4 CPT - Centre de Physique Théorique - UMR 7332

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.

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

Jonathan Engle, Karim Noui, Alejandro Perez, Daniele Pranzetti. Black hole entropy from the SU(2)-invariant formulation of type I isolated horizons. Physical Review D, 2010, 82 (4), pp.044050. ⟨10.1103/PhysRevD.82.044050⟩. ⟨hal-00495877⟩