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.
Black hole entropy from an SU(2)-invariant formulation of Type I isolated horizons / Engle, J; Noui, K; Perez, A; Pranzetti, Daniele. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - 82:4(2010), pp. 1-23. [10.1103/PhysRevD.82.044050]
Black hole entropy from an SU(2)-invariant formulation of Type I isolated horizons
Pranzetti, Daniele
2010-01-01
Abstract
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.| File | Dimensione | Formato | |
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