Eur. Phys. J. C (2013) 73: 2383
https://doi.org/10.1140/epjc/s10052-013-2383-0

Regular Article - Theoretical Physics

A noncommutative model of BTZ spacetime

¹ Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, A.P. 55-534, C.P. 09340, Mexico D.F., Mexico
² Departamento de Física, CINVESTAV–IPN, A.P. 14-740, C.P. 07000, Mexico D.F., Mexico

^* e-mail: mmac@xanum.uam.mx

Received: 25 February 2013
Revised: 14 March 2013
Published online: 3 April 2013

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.