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Dolan, Brian P., 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; |
| Academic Unit: | Faculty of Science and 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 |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/2768 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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