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  Conformal Symmetries of the Einstein-Hilbert Action on Horizons of Stationary and Axisymmetric Black Holes

Mei, J. (2012). Conformal Symmetries of the Einstein-Hilbert Action on Horizons of Stationary and Axisymmetric Black Holes. Classical and quantum gravity, 29(9): 095020. doi:10.1088/0264-9381/29/9/095020.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-4480-2 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-4482-D
Genre: Journal Article

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1108.3841 (Preprint), 238KB
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 Creators:
Mei, Jianwei1, Author           
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: We suggest a way to study possible conformal symmetries on black hole horizons. We do this by carrying out a Kaluza-Klein like reduction of the Einstein-Hilbert action along the ignorable coordinates of stationary and axisymmetric black holes. Rigid diffeomorphism invariance of the $m$-ignorable coordinates then becomes a global $SL(m,R)$ gauge symmetry of the reduced action. Related to each non-vanishing angular velocity there is a particular $SL(2,R)$ subgroup, which can be extended to the Witt algebra on the black hole horizons. The classical Einstein-Hilbert action thus has $k$-copies of infinite dimensional conformal symmetries on a given black hole horizon, with $k$ being the number of non-vanishing angular velocities of the black hole.

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 Dates: 2011-08-182012-02-192012
 Publication Status: Issued
 Pages: A demonstration of the first law of black hole thermodynamics is added to section 3; and the introduction section is thoroughly revised; 22 pages
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 Identifiers: arXiv: 1108.3841
DOI: 10.1088/0264-9381/29/9/095020
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 29 (9) Sequence Number: 095020 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_1