arXiv 2008.049062020-08-11gr-qchep-th

Lanczos-Lovelock引力下弱宇宙审查猜想的检验

Testing the Weak Cosmic Censorship Conjecture in Lanczos-Lovelock gravity

Jie Jiang, Ming Zhang

备注：: 9 pages,1 figures
发表信息：: Phys. Rev. D 102, 084033 (2020)
DOI：: 10.1103/PhysRevD.102.084033

摘要：

基于Sorce和Wald提出的新版本的gedanken实验，在Lanczos-Lovelock-Maxwell引力的近极值静态荷黑洞中检验了弱宇宙监督猜想（WCCC）.在引入物质场的零能量条件后，我们证明了在一级近似下，对于$S'(r_h)\leq 0$，（近）极值黑洞可以被摧毁，其中$S(r_h)$是Lanczos-Lovelock引力下背景黑洞几何的熵.这意味着在这些情况下违反了WCCC。对于$S'(r_h)>0$的情况，几乎极端的黑洞不能被新版本的一阶和二阶扰动近似的gedanken实验过度充电。这些结果表明，在Lanczos-Lovelock引力下，WCCC满足条件$S'(r_h)>0$ .我们的工作也意味着WCCC将发挥自然的作用，以限制Lanczos-Lovelock引力。最后，我们还证明了在一级近似下，破坏条件$S'(r_h)<0$意味着近极值黑洞是不稳定的。

英文摘要：

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.

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