A three-dimensional slowly rotating black hole solution in the presence of negative cosmological constant in the Einstein-power-Maxwell theory is studied. It is shown that in the small rotation limit, the electric field, diagonal metric function and thermodynamic properties are the same as for static case, whereas the small rotation gives in addition a nondiagonal metric function and magnetic field which are also small. For these functions cased by rotation of black hole, exact integral solution and analytic asymptotic solution were obtained.

中文翻译：

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Einstein-power-Maxwell 理论中的三维慢速旋转黑洞

研究了爱因斯坦-幂-麦克斯韦理论中存在负宇宙常数的三维慢旋转黑洞解。结果表明，在小旋转极限下，电场、对角度量函数和热力学性质与静态情况相同，而小旋转还给出了同样小的非对角度量函数和磁场。对于这些黑洞旋转的函数，得到了精确积分解和解析渐近解。