Abstract
Abstract
We introduce a model of a noncommutative BTZ black hole, obtained by quantisation of Poincaré coordinates together with a moving frame. The fuzzy BTZ black hole carries a covariant differential calculus, satisfies Einstein’s equations and has a constant negative curvature. The construction passes through a larger space, the fuzzy anti-de Sitter, and implements discrete BTZ identifications as conjugations by a unitary operator. We derive the spectrum of the suitably regularised radial coordinate: it consists of a continuum of scattering states outside the horizon r+ and an infinite discrete set of bound states inside.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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1. A fuzzy black hole;International Journal of Modern Physics A;2023-11-20