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

2010/06/03 by Jonathan Engle, Karim Noui, Alejandro Perez +2 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Entropy (arrow of time) #General relativity #Geometry #Horizon #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.82.044050

published as Phys.Rev.D82:044050,2010 · 30 pages, 1 figure

arxiv created 2010/06/03 · openalex publication_date 2010/08/30 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

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