We obtain charged and rotating black hole solutions to the novel 3D Gauss–Bonnet theory of gravity recently proposed, both of which generalize the Banados–Teitelboim–Zanelli (BTZ) metric. The charged solutions are obtained in the Maxwell and Born–Infeld theories and feature ‘universal thermodynamics’—identical to the thermodynamics of their Einstein cousins. The rotating Gauss–Bonnet BTZ black holes are quite exceptional and are not of constant curvature. They possess an ergoregion and outer horizon, but do not have an inner horizon. We present their basic properties and show that they break the universality of thermodynamics present for their static charged counterparts. Extending our considerations to higher dimensions, we also obtain novel 4D Gauss–Bonnet rotating black strings.

我们获得了最近提出的新型3D高斯-邦尼引力理论的带电和旋转黑洞解决方案，它们都推广了Banados-Teitelboim-Zanelli（BTZ）度量。带电的溶液是从麦克斯韦和博恩-英菲尔德理论中获得的，具有“通用热力学”的特性，与他们的爱因斯坦表亲的热力学相同。旋转的Gauss-Bonnet BTZ黑洞非常出色，并且曲率不恒定。它们具有一个人体工学区域和外部视野，但没有内部视野。我们介绍了它们的基本特性，并表明它们打破了存在于其静电荷对应物中的热力学的普遍性。将我们的考虑扩展到更高的维度，我们还获得了新颖的4D高斯-引擎盖旋转黑弦。