Abstract
We analyze a noncommutative model of BTZ spacetime based on deformation of the standard symplectic structure of phase space, i.e., a modification of the standard commutation relations among coordinates and momenta in phase space. We find a BTZ-like solution that is nonperturbative in the non-trivial noncommutative structure. It is shown that the use of deformed commutation relations in the modified non-canonical phase space eliminates the horizons of the standard metric.
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Acknowledgements
We would like to thank the referee for her/his valuable comments on this work. We would also like to thank Alberto García for useful discussions and literature hints. This research was supported by CONACyT Grant No. 166041F3.
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Maceda, M., Macías, A. A noncommutative model of BTZ spacetime. Eur. Phys. J. C 73, 2383 (2013). https://doi.org/10.1140/epjc/s10052-013-2383-0
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DOI: https://doi.org/10.1140/epjc/s10052-013-2383-0