Dynamic noncommutative BTZ black holes

We have studied the charged BTZ black holes in noncommutative spaces arising from two independent approaches. First, by using Seiberg-Witten map followed a dynamic choice of gauge Chern-Simons theory. Second, inducing fuzziness mass and charge Lorentzian distribution function with width being same as minimal length associated noncommutativity. In first approach, we found existence non-static non-stationary for time literature, while second approach facilitates us to introduce proper bound on parameter so that corresponding hole becomes stable physical. used contemporary tunneling formalism study thermodynamics both approaches analyze their behavior within context.