Dynamics of charged rotating BTZ black holes in 2 + 1 dimensions by using the cut and paste approach is discussed. Due to the mechanical stability of rotating charged BTZ thin shell, the radial perturbation about the equilibrium throat radius and three variable equation of state (EoS) is analyzed. Several examples are displayed satisfying it, such as variable Phantom-like, variable Chaplygin gas and variable modified generalized Chaplygin gas.

中文翻译：

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带不同变状态方程的带电旋转BTZ薄壳的稳定性

讨论了采用剪切粘贴法的2+1维带电旋转BTZ黑洞动力学。由于旋转带电BTZ薄壳的机械稳定性，分析了平衡喉部半径和三变量状态方程（EoS）的径向摄动。显示了几个满足它的例子，例如变量Phantom-like，变量Chaplygin gas和变量修改的广义Chaplygin gas。