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SIGMA, 2012, Volume 8, 048, 58 pages (Mi sigma725)  

This article is cited in 33 scientific papers (total in 33 papers)

Isolated horizons and black hole entropy in Loop Quantum Gravity

Jacobo Diaz-Poloa, Daniele Pranzettib

a Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, USA
b Max Planck Institute for Gravitational Physics (AEI), Am Mühlenberg 1, D-14476 Golm, Germany

Abstract: We review the black hole entropy calculation in the framework of Loop Quantum Gravity based on the quasi-local definition of a black hole encoded in the isolated horizon formalism. We show, by means of the covariant phase space framework, the appearance in the conserved symplectic structure of a boundary term corresponding to a Chern–Simons theory on the horizon and present its quantization both in the $U(1)$ gauge fixed version and in the fully $SU(2)$ invariant one. We then describe the boundary degrees of freedom counting techniques developed for an infinite value of the Chern–Simons level case and, less rigorously, for the case of a finite value. This allows us to perform a comparison between the $U(1)$ and $SU(2)$ approaches and provide a state of the art analysis of their common features and different implications for the entropy calculations. In particular, we comment on different points of view regarding the nature of the horizon degrees of freedom and the role played by the Barbero–Immirzi parameter. We conclude by presenting some of the most recent results concerning possible observational tests for theory.

Keywords: black hole entropy, quantum gravity, isolated horizons.


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ArXiv: 1112.0291
MSC: 53Z05; 81S05; 83C57
Received: December 2, 2011; in final form July 18, 2012; Published online August 1, 2012

Citation: Jacobo Diaz-Polo, Daniele Pranzetti, “Isolated horizons and black hole entropy in Loop Quantum Gravity”, SIGMA, 8 (2012), 048, 58 pp.

Citation in format AMSBIB
\by Jacobo Diaz-Polo, Daniele Pranzetti
\paper Isolated horizons and black hole entropy in Loop Quantum Gravity
\jour SIGMA
\yr 2012
\vol 8
\papernumber 048
\totalpages 58

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    This publication is cited in the following articles:
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    5. Pranzetti D., “Dynamical Evaporation of Quantum Horizons”, Class. Quantum Gravity, 30:16 (2013), 165004  crossref  mathscinet  zmath  adsnasa  isi  scopus
    6. Bodendorfer N., Thiemann T., Thurn A., “New Variables for Classical and Quantum Gravity in All Dimensions: V. Isolated Horizon Boundary Degrees of Freedom”, Class. Quantum Gravity, 31:5 (2014), 055002  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    7. Wang J., Ma Y., Zhao X.-A., “Bf Theory Explanation of the Entropy for Nonrotating Isolated Horizons”, Phys. Rev. D, 89:8 (2014), 084065  crossref  adsnasa  isi  scopus
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    17. Oriti D. Pranzetti D. Ryan J.P. Sindoni L., “Generalized Quantum Gravity Condensates For Homogeneous Geometries and Cosmology”, Class. Quantum Gravity, 32:23 (2015), 235016  crossref  mathscinet  zmath  adsnasa  isi  scopus
    18. Pranzetti D., Sahlmann H., “Horizon Entropy With Loop Quantum Gravity Methods”, Phys. Lett. B, 746 (2015), 209–216  crossref  mathscinet  zmath  adsnasa  isi  scopus
    19. Steffen Gielen, Lorenzo Sindoni, “Quantum Cosmology from Group Field Theory Condensates: a Review”, SIGMA, 12 (2016), 082, 49 pp.  mathnet  crossref
    20. Djordjevic G.S., Nesic L., Radovancevic D., “Two-oscillator Kantowski–Sachs model of the Schwarzschild black hole interior”, Gen. Relativ. Gravit., 48:8 (2016), 106  crossref  mathscinet  zmath  isi  elib  scopus
    21. Bodendorfer N., “Some notes on the Kodama state, maximal symmetry, and the isolated horizon boundary condition”, Phys. Rev. D, 93:12 (2016), 124042  crossref  mathscinet  isi  scopus
    22. Olmedo J., “Brief Review on Black Hole Loop Quantization”, Universe, 2:2 (2016), UNSP 12  crossref  isi
    23. Oriti D., Pranzetti D., Sindoni L., “Horizon Entropy from Quantum Gravity Condensates”, Phys. Rev. Lett., 116:21 (2016), 211301  crossref  isi  scopus
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    25. A. Perez, “Black holes in loop quantum gravity”, Rep. Prog. Phys., 80:12 (2017), 126901  crossref  mathscinet  isi  scopus
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    27. D. Oriti, D. Pranzetti, L. Sindoni, “Black holes as quantum gravity condensates”, Phys. Rev. D, 97:6 (2018), 066017  crossref  isi  scopus
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  • Symmetry, Integrability and Geometry: Methods and Applications
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