Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity
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 bou...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2012 |
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Інститут математики НАН України
2012
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148462 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity / J. Diaz-Polo, D. Pranzetti // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 117 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862658591638421504 |
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| author | Diaz-Polo, J. Pranzetti, D. |
| author_facet | Diaz-Polo, J. Pranzetti, D. |
| citation_txt | Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity / J. Diaz-Polo, D. Pranzetti // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 117 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-02T08:43:59Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148462 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-02T08:43:59Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
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| spelling | Diaz-Polo, J. Pranzetti, D. 2019-02-18T13:05:28Z 2019-02-18T13:05:28Z 2012 Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity / J. Diaz-Polo, D. Pranzetti // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 117 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53Z05; 81S05; 83C57 DOI: http://dx.doi.org/10.3842/SIGMA.2012.048 https://nasplib.isofts.kiev.ua/handle/123456789/148462 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. This paper is a contribution to the Special Issue “Loop Quantum Gravity and Cosmology”. The full collection is available at http://www.emis.de/journals/SIGMA/LQGC.html.
 We would like to specially thank Abhay Ashtekar and Alejandro Perez. This work was partially supported by NSF grants PHY-0854743 and PHY-0968871, the Spanish MICINN grant ESP2007-66542-C04-01, and the Eberly research funds of Penn State. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity Article published earlier |
| spellingShingle | Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity Diaz-Polo, J. Pranzetti, D. |
| title | Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity |
| title_full | Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity |
| title_fullStr | Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity |
| title_full_unstemmed | Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity |
| title_short | Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity |
| title_sort | isolated horizons and black hole entropy in loop quantum gravity |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148462 |
| work_keys_str_mv | AT diazpoloj isolatedhorizonsandblackholeentropyinloopquantumgravity AT pranzettid isolatedhorizonsandblackholeentropyinloopquantumgravity |