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

By Jonathan Engle, K. Noui, Alejandro Perez, Daniele Pranzetti. 2010

158 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/86c5bcf1a147e26d5639c650e7aac4b174e40ed3

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Citations in the corpus

Zakopane lectures on loop gravity (2011, background): “I haven’t covered the applications of the theory to black hole physics [122, 123, 124, 125], and to hamiltonian loop quantum cosmology [126, 127], which are by far the most interesting applications of LQG.”
Loop Quantum Gravity (2003, background): “See in particular [139], where a number of issues in previous derivations have been cleaned up and clarified.”
Edge modes of gravity. Part I. Corner potentials and charges (2020, methodology): “ as a boundary term using the identity20 2det(ei a)ea i i a[e] = d(ei^e i), where i a[e] is the torsionless spin connection [117,118]. This has also been used in studies of isolated horizons in LQG [14]. Moreover, it is the central piece that was used in [36{38] to propose a new quantization of grav”