Bopp-Podolsky黑洞和无毛定理
Bopp-Podolsky black holes and the no-hair theorem
摘要：
将波普-波多尔斯基电动力学推广到弯曲时空。本文给出了静态球对称黑洞的运动方程，并用Bekenstein方法分析了它们的外解。它示出的解决方案分裂成两个部分，即非均匀（渐近无质量）制度和均匀（渐近大规模）部门是零以外的事件视界。此外，在Bopp-Podolsky黑洞的最简单的方法中，非齐次解被发现是导致Reissner-Nordström黑洞的Maxwell解。它也表明，唯一的外部解决方案符合弱和零能量条件是麦克斯韦的。因此，根据能量条件，我们得出结论，只有麦克斯韦模式传播的视界外，因此，无毛定理是满足的情况下，波普-波多尔斯基场在球对称时空。
英文摘要：
Bopp-Podolsky electrodynamics is generalized to curved space-times. The equations of motion are written for the case of static spherically symmetric black holes and their exterior solutions are analyzed using Bekenstein's method. It is shown the solutions split-up into two parts, namely a non-homogeneous (asymptotically massless) regime and a homogeneous (asymptotically massive) sector which is null outside the event horizon. In addition, in the simplest approach to Bopp-Podolsky black holes, the non-homogeneous solutions are found to be Maxwell's solutions leading to a Reissner-Nordström black hole. It is also demonstrated that the only exterior solution consistent with the weak and null energy conditions is the Maxwell's one. Thus, in light of energy conditions, it is concluded that only Maxwell modes propagate outside the horizon and, therefore, the no-hair theorem is satisfied in the case of Bopp-Podolsky fields in spherically symmetric space-times.
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