Black hole entropy from the SU(2)-invariant formulation of type I isolated horizons
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.
- Publication:
-
Physical Review D
- Pub Date:
- August 2010
- DOI:
- 10.1103/PhysRevD.82.044050
- arXiv:
- arXiv:1006.0634
- Bibcode:
- 2010PhRvD..82d4050E
- Keywords:
-
- 04.60.-m;
- 04.60.Pp;
- 04.20.Fy;
- 11.15.Yc;
- Quantum gravity;
- Loop quantum gravity quantum geometry spin foams;
- Canonical formalism Lagrangians and variational principles;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 30 pages, 1 figure