论文标题
测试Lanczos-Lovelock Gravity中弱宇宙审查的猜想
Testing the Weak Cosmic Censorship Conjecture in Lanczos-Lovelock gravity
论文作者
论文摘要
在本文中,我们根据Sorce和Wald提出的新版本的Gedanken实验,测试了几乎极端的静态静态构造猜想(WCCC)。在引入物质字段的无效能量状态后,我们表明(几乎)极端黑洞可以在案件的一阶近似下被销毁,其中$ s'(r_h)\ leq 0 $,其中$ s(r_h)$是Lanczos-Lovelock-Lovelock gradity中背景黑洞几何的熵。这意味着在这些情况下违反了WCCC。对于具有$ s'(r_h)> 0 $的案例,Gedanken实验的新版本对于扰动的一阶近似值都无法超过极端的黑洞。这些结果表明,WCCC在Lanczos-Lovelock Gravity中得到满足,条件$ S'(R_H)> 0 $。我们的工作还意味着WCCC将发挥自然作用来限制兰开斯 - 洛沃克重力。最后,我们还表明,销毁条件$ s'(r_h)<0 $意味着在一阶近似下,几乎极端的黑洞在热力学上是不稳定的。
In this paper, we test the weak cosmic censorship conjecture (WCCC) in the nearly extremal static charged black holes of Lanczos-Lovelock-Maxwell gravity based on the new version of gedanken experiments proposed by Sorce and Wald. After introducing the null energy condition of the matter fields, we show that the (nearly) extremal black holes can be destroyed under the first-order approximation for the case with $S'(r_h)\leq 0$, where $S(r_h)$ is the entropy of the background black hole geometry in Lanczos-Lovelock gravity. It implies that the WCCC is violated in these situations. For the case with $S'(r_h)>0$, the nearly extremal black holes cannot be overcharged by the new version of the gedanken experiments for both first- and second-order approximations of perturbation. These results indicate that the WCCC is satisfied in the Lanczos-Lovelock gravity with the condition $S'(r_h)>0$. Our work also implies that the WCCC will play a natural role to constrain the Lanczos-Lovelock gravities. Finally, we also show that the destroy condition $S'(r_h)<0$ implies that the nearly extremal black hole is thermodynamically unstable under the first-order approximation.