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Noncommutative BTZ Black Hole and Discrete Time

Dolan, B.P. and Gupta, Kumar S. and Stern, A. (2007) Noncommutative BTZ Black Hole and Discrete Time. Classical and Quantum Gravity, 24. pp. 1647-1655. ISSN 0264-9381

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Abstract

We search for all Poisson brackets for the BTZ black hole which are consistent with the geometry of the commutative solution and are of lowest order in the embedding coordinates. For arbitrary values for the angular momentum we obtain two two-parameter families of contact structures. We obtain the symplectic leaves, which characterize the irreducible representations of the noncommutative theory. The requirement that they be invariant under the action of the isometry group restricts to R × S1 symplectic leaves, where R is associated with the Schwarzschild time. Quantization may then lead to a discrete spectrum for the time operator.

Item Type: Article
Additional Information: Preprint version of original published article © 2007 IOP Publishing Ltd. We are very grateful to A.P. Balachandran, A. Pinzul and P. Presnajder for useful discussions. We also thank P. Presnajder for his hospitality during a stay at Dept. of Physics, Comenius University, Bratislava, where this work originated.
Keywords: Noncommutative; BTZ; Black Hole; Discrete Time;
Subjects: Science & Engineering > Mathematical Physics
Item ID: 2768
Identification Number: 10.1088/0264-9381/24/6/017
Depositing User: Dr. Brian Dolan
Date Deposited: 13 Oct 2011 15:33
Journal or Publication Title: Classical and Quantum Gravity
Publisher: Institute of Physics
Refereed: No
URI:

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