Near-horizon limit of the charged BTZ black hole and AdS_2 quantum gravity
We show that the 3D charged Banados-Teitelboim-Zanelli (BTZ) black hole solution interpolates between two different 2D AdS spacetimes: a near-extremal, near-horizon AdS_2 geometry with constant dilaton and U(1) field and an asymptotic AdS_2 geometry with a linear dilaton. Thus, the charged BTZ black...
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| creator | Cadoni, Mariano Setare, Mohammad R |
| description | We show that the 3D charged Banados-Teitelboim-Zanelli (BTZ) black hole solution interpolates between two different 2D AdS spacetimes: a near-extremal, near-horizon AdS_2 geometry with constant dilaton and U(1) field and an asymptotic AdS_2 geometry with a linear dilaton. Thus, the charged BTZ black hole can be considered as interpolating between the two different formulations proposed until now for AdS_2 quantum gravity. In both cases the theory is the chiral half of a 2D CFT and describes, respectively, Brown-Hennaux-like boundary deformations and near-horizon excitations. The central charge c_as of the asymptotic CFT is determined by 3D Newton constant G and the AdS length l, c_as=3l/G, whereas that of the near-horizon CFT also depends on the U(1) charge Q, c_nh \propto l Q/\sqrt G. |
| doi_str_mv | 10.48550/arxiv.0806.2754 |
| format | Article |
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Thus, the charged BTZ black hole can be considered as interpolating between the two different formulations proposed until now for AdS_2 quantum gravity. In both cases the theory is the chiral half of a 2D CFT and describes, respectively, Brown-Hennaux-like boundary deformations and near-horizon excitations. The central charge c_as of the asymptotic CFT is determined by 3D Newton constant G and the AdS length l, c_as=3l/G, whereas that of the near-horizon CFT also depends on the U(1) charge Q, c_nh \propto l Q/\sqrt G.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.0806.2754</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Asymptotic properties ; Black holes ; Deformation ; Dilatons ; Formulations ; Horizon ; Physics - Astrophysics of Galaxies ; Physics - Cosmology and Nongalactic Astrophysics ; Physics - Earth and Planetary Astrophysics ; Physics - General Relativity and Quantum Cosmology ; Physics - High Energy Astrophysical Phenomena ; Physics - High Energy Physics - Theory ; Physics - Instrumentation and Methods for Astrophysics ; Physics - Solar and Stellar Astrophysics ; Quantum gravity</subject><ispartof>arXiv.org, 2008-06</ispartof><rights>2008. 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Thus, the charged BTZ black hole can be considered as interpolating between the two different formulations proposed until now for AdS_2 quantum gravity. In both cases the theory is the chiral half of a 2D CFT and describes, respectively, Brown-Hennaux-like boundary deformations and near-horizon excitations. 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| subjects | Asymptotic properties Black holes Deformation Dilatons Formulations Horizon Physics - Astrophysics of Galaxies Physics - Cosmology and Nongalactic Astrophysics Physics - Earth and Planetary Astrophysics Physics - General Relativity and Quantum Cosmology Physics - High Energy Astrophysical Phenomena Physics - High Energy Physics - Theory Physics - Instrumentation and Methods for Astrophysics Physics - Solar and Stellar Astrophysics Quantum gravity |
| title | Near-horizon limit of the charged BTZ black hole and AdS_2 quantum gravity |
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